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Finding the Fourth Proportional to 3,272.77, 4,516.47 and 1,780.71

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Solution

The fourth proportional to 3,272.77, 4,516.47 and 1,780.71 is: 2,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.77 : 4,516.47 = 1,780.71 : x
  2. Step 2: Convert to fraction form
    3,272.77/4,516.47 = 1,780.71/x
  3. Step 3: Cross multiply
    3,272.77x = 4,516.47 × 1,780.71
  4. Step 4: Simplify right side
    3,272.77x = 8,042,523.29
  5. Step 5: Solve for x
    x = 8,042,523.29/3,272.77
  6. Step 6: Final answer
    x = 2,457.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.