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Finding the Fourth Proportional to 2,572.30, 3,549.71 and 1,524.36

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Solution

The fourth proportional to 2,572.30, 3,549.71 and 1,524.36 is: 2,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.30 : 3,549.71 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    2,572.30/3,549.71 = 1,524.36/x
  3. Step 3: Cross multiply
    2,572.30x = 3,549.71 × 1,524.36
  4. Step 4: Simplify right side
    2,572.30x = 5,411,053.06
  5. Step 5: Solve for x
    x = 5,411,053.06/2,572.30
  6. Step 6: Final answer
    x = 2,103.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.