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Finding the Fourth Proportional to 1,497.96, 2,062.19 and 1,124.31

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Solution

The fourth proportional to 1,497.96, 2,062.19 and 1,124.31 is: 1,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,062.19 = 1,124.31 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,062.19 = 1,124.31/x
  3. Step 3: Cross multiply
    1,497.96x = 2,062.19 × 1,124.31
  4. Step 4: Simplify right side
    1,497.96x = 2,318,551.38
  5. Step 5: Solve for x
    x = 2,318,551.38/1,497.96
  6. Step 6: Final answer
    x = 1,547.81

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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.