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Finding the Fourth Proportional to 1,666.72, 2,497.20 and 1,324

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Solution

The fourth proportional to 1,666.72, 2,497.20 and 1,324 is: 1,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.72 : 2,497.20 = 1,324 : x
  2. Step 2: Convert to fraction form
    1,666.72/2,497.20 = 1,324/x
  3. Step 3: Cross multiply
    1,666.72x = 2,497.20 × 1,324
  4. Step 4: Simplify right side
    1,666.72x = 3,306,292.80
  5. Step 5: Solve for x
    x = 3,306,292.80/1,666.72
  6. Step 6: Final answer
    x = 1,983.71

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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.