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Finding the Fourth Proportional to 2,514.90, 3,772.47 and 954.84

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Solution

The fourth proportional to 2,514.90, 3,772.47 and 954.84 is: 1,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.90 : 3,772.47 = 954.84 : x
  2. Step 2: Convert to fraction form
    2,514.90/3,772.47 = 954.84/x
  3. Step 3: Cross multiply
    2,514.90x = 3,772.47 × 954.84
  4. Step 4: Simplify right side
    2,514.90x = 3,602,105.25
  5. Step 5: Solve for x
    x = 3,602,105.25/2,514.90
  6. Step 6: Final answer
    x = 1,432.31

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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.