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Finding the Fourth Proportional to 2,572.71, 3,857.23 and 1,111.06

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Solution

The fourth proportional to 2,572.71, 3,857.23 and 1,111.06 is: 1,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.71 : 3,857.23 = 1,111.06 : x
  2. Step 2: Convert to fraction form
    2,572.71/3,857.23 = 1,111.06/x
  3. Step 3: Cross multiply
    2,572.71x = 3,857.23 × 1,111.06
  4. Step 4: Simplify right side
    2,572.71x = 4,285,613.96
  5. Step 5: Solve for x
    x = 4,285,613.96/2,572.71
  6. Step 6: Final answer
    x = 1,665.80

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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.