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Finding the Fourth Proportional to 2,627.16, 3,940.74 and 1,165.92

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Solution

The fourth proportional to 2,627.16, 3,940.74 and 1,165.92 is: 1,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.16 : 3,940.74 = 1,165.92 : x
  2. Step 2: Convert to fraction form
    2,627.16/3,940.74 = 1,165.92/x
  3. Step 3: Cross multiply
    2,627.16x = 3,940.74 × 1,165.92
  4. Step 4: Simplify right side
    2,627.16x = 4,594,587.58
  5. Step 5: Solve for x
    x = 4,594,587.58/2,627.16
  6. Step 6: Final answer
    x = 1,748.88

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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.