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Finding the Fourth Proportional to 1,497.07, 2,242.52 and 878.92

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Solution

The fourth proportional to 1,497.07, 2,242.52 and 878.92 is: 1,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.07 : 2,242.52 = 878.92 : x
  2. Step 2: Convert to fraction form
    1,497.07/2,242.52 = 878.92/x
  3. Step 3: Cross multiply
    1,497.07x = 2,242.52 × 878.92
  4. Step 4: Simplify right side
    1,497.07x = 1,970,988.97
  5. Step 5: Solve for x
    x = 1,970,988.97/1,497.07
  6. Step 6: Final answer
    x = 1,316.56

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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.