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Finding the Fourth Proportional to 2,478.66, 3,714.05 and 1,308.62

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Solution

The fourth proportional to 2,478.66, 3,714.05 and 1,308.62 is: 1,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.66 : 3,714.05 = 1,308.62 : x
  2. Step 2: Convert to fraction form
    2,478.66/3,714.05 = 1,308.62/x
  3. Step 3: Cross multiply
    2,478.66x = 3,714.05 × 1,308.62
  4. Step 4: Simplify right side
    2,478.66x = 4,860,273.57
  5. Step 5: Solve for x
    x = 4,860,273.57/2,478.66
  6. Step 6: Final answer
    x = 1,960.85

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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.