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Finding the Fourth Proportional to 1,497.68, 2,242.88 and 1,293.56

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Solution

The fourth proportional to 1,497.68, 2,242.88 and 1,293.56 is: 1,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.68 : 2,242.88 = 1,293.56 : x
  2. Step 2: Convert to fraction form
    1,497.68/2,242.88 = 1,293.56/x
  3. Step 3: Cross multiply
    1,497.68x = 2,242.88 × 1,293.56
  4. Step 4: Simplify right side
    1,497.68x = 2,901,299.85
  5. Step 5: Solve for x
    x = 2,901,299.85/1,497.68
  6. Step 6: Final answer
    x = 1,937.20

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