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Finding the Fourth Proportional to 3,200.66, 4,416.94 and 1,784.47

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Solution

The fourth proportional to 3,200.66, 4,416.94 and 1,784.47 is: 2,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.66 : 4,416.94 = 1,784.47 : x
  2. Step 2: Convert to fraction form
    3,200.66/4,416.94 = 1,784.47/x
  3. Step 3: Cross multiply
    3,200.66x = 4,416.94 × 1,784.47
  4. Step 4: Simplify right side
    3,200.66x = 7,881,865.91
  5. Step 5: Solve for x
    x = 7,881,865.91/3,200.66
  6. Step 6: Final answer
    x = 2,462.58

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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.