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Finding the Fourth Proportional to 2,575.71, 3,554.54 and 1,456.59

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Solution

The fourth proportional to 2,575.71, 3,554.54 and 1,456.59 is: 2,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.71 : 3,554.54 = 1,456.59 : x
  2. Step 2: Convert to fraction form
    2,575.71/3,554.54 = 1,456.59/x
  3. Step 3: Cross multiply
    2,575.71x = 3,554.54 × 1,456.59
  4. Step 4: Simplify right side
    2,575.71x = 5,177,511.06
  5. Step 5: Solve for x
    x = 5,177,511.06/2,575.71
  6. Step 6: Final answer
    x = 2,010.13

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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.