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Finding the Fourth Proportional to 2,387.59, 3,294.82 and 1,456.09

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Solution

The fourth proportional to 2,387.59, 3,294.82 and 1,456.09 is: 2,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.59 : 3,294.82 = 1,456.09 : x
  2. Step 2: Convert to fraction form
    2,387.59/3,294.82 = 1,456.09/x
  3. Step 3: Cross multiply
    2,387.59x = 3,294.82 × 1,456.09
  4. Step 4: Simplify right side
    2,387.59x = 4,797,554.45
  5. Step 5: Solve for x
    x = 4,797,554.45/2,387.59
  6. Step 6: Final answer
    x = 2,009.37

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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.