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Finding the Fourth Proportional to 2,514.89, 3,772.47 and 2,376.38

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Solution

The fourth proportional to 2,514.89, 3,772.47 and 2,376.38 is: 3,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.89 : 3,772.47 = 2,376.38 : x
  2. Step 2: Convert to fraction form
    2,514.89/3,772.47 = 2,376.38/x
  3. Step 3: Cross multiply
    2,514.89x = 3,772.47 × 2,376.38
  4. Step 4: Simplify right side
    2,514.89x = 8,964,822.26
  5. Step 5: Solve for x
    x = 8,964,822.26/2,514.89
  6. Step 6: Final answer
    x = 3,564.70

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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.