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Finding the Fourth Proportional to 2,478.95, 3,714.41 and 1,308.89

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Solution

The fourth proportional to 2,478.95, 3,714.41 and 1,308.89 is: 1,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.95 : 3,714.41 = 1,308.89 : x
  2. Step 2: Convert to fraction form
    2,478.95/3,714.41 = 1,308.89/x
  3. Step 3: Cross multiply
    2,478.95x = 3,714.41 × 1,308.89
  4. Step 4: Simplify right side
    2,478.95x = 4,861,747.56
  5. Step 5: Solve for x
    x = 4,861,747.56/2,478.95
  6. Step 6: Final answer
    x = 1,961.21

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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.