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Finding the Fourth Proportional to 2,456.31, 3,687.59 and 1,484.31

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Solution

The fourth proportional to 2,456.31, 3,687.59 and 1,484.31 is: 2,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.31 : 3,687.59 = 1,484.31 : x
  2. Step 2: Convert to fraction form
    2,456.31/3,687.59 = 1,484.31/x
  3. Step 3: Cross multiply
    2,456.31x = 3,687.59 × 1,484.31
  4. Step 4: Simplify right side
    2,456.31x = 5,473,519.29
  5. Step 5: Solve for x
    x = 5,473,519.29/2,456.31
  6. Step 6: Final answer
    x = 2,228.35

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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.