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Finding the Fourth Proportional to 2,478.52, 3,714.60 and 1,015.92

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Solution

The fourth proportional to 2,478.52, 3,714.60 and 1,015.92 is: 1,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.52 : 3,714.60 = 1,015.92 : x
  2. Step 2: Convert to fraction form
    2,478.52/3,714.60 = 1,015.92/x
  3. Step 3: Cross multiply
    2,478.52x = 3,714.60 × 1,015.92
  4. Step 4: Simplify right side
    2,478.52x = 3,773,736.43
  5. Step 5: Solve for x
    x = 3,773,736.43/2,478.52
  6. Step 6: Final answer
    x = 1,522.58

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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.