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Finding the Fourth Proportional to 2,514.72, 3,772.20 and 1,053.92

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Solution

The fourth proportional to 2,514.72, 3,772.20 and 1,053.92 is: 1,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.72 : 3,772.20 = 1,053.92 : x
  2. Step 2: Convert to fraction form
    2,514.72/3,772.20 = 1,053.92/x
  3. Step 3: Cross multiply
    2,514.72x = 3,772.20 × 1,053.92
  4. Step 4: Simplify right side
    2,514.72x = 3,975,597.02
  5. Step 5: Solve for x
    x = 3,975,597.02/2,514.72
  6. Step 6: Final answer
    x = 1,580.93

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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.