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Finding the Fourth Proportional to 2,564.46, 3,845.88 and 832.68

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Solution

The fourth proportional to 2,564.46, 3,845.88 and 832.68 is: 1,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.46 : 3,845.88 = 832.68 : x
  2. Step 2: Convert to fraction form
    2,564.46/3,845.88 = 832.68/x
  3. Step 3: Cross multiply
    2,564.46x = 3,845.88 × 832.68
  4. Step 4: Simplify right side
    2,564.46x = 3,202,387.36
  5. Step 5: Solve for x
    x = 3,202,387.36/2,564.46
  6. Step 6: Final answer
    x = 1,248.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.