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Finding the Fourth Proportional to 2,463.68, 3,695.53 and 732.31

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Solution

The fourth proportional to 2,463.68, 3,695.53 and 732.31 is: 1,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.68 : 3,695.53 = 732.31 : x
  2. Step 2: Convert to fraction form
    2,463.68/3,695.53 = 732.31/x
  3. Step 3: Cross multiply
    2,463.68x = 3,695.53 × 732.31
  4. Step 4: Simplify right side
    2,463.68x = 2,706,262.50
  5. Step 5: Solve for x
    x = 2,706,262.50/2,463.68
  6. Step 6: Final answer
    x = 1,098.46

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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.