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Finding the Fourth Proportional to 2,742.92, 4,115 and 1,509.69

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Solution

The fourth proportional to 2,742.92, 4,115 and 1,509.69 is: 2,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.92 : 4,115 = 1,509.69 : x
  2. Step 2: Convert to fraction form
    2,742.92/4,115 = 1,509.69/x
  3. Step 3: Cross multiply
    2,742.92x = 4,115 × 1,509.69
  4. Step 4: Simplify right side
    2,742.92x = 6,212,374.35
  5. Step 5: Solve for x
    x = 6,212,374.35/2,742.92
  6. Step 6: Final answer
    x = 2,264.88

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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.