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Finding the Fourth Proportional to 3,149.32, 4,718.30 and 1,761

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Solution

The fourth proportional to 3,149.32, 4,718.30 and 1,761 is: 2,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.32 : 4,718.30 = 1,761 : x
  2. Step 2: Convert to fraction form
    3,149.32/4,718.30 = 1,761/x
  3. Step 3: Cross multiply
    3,149.32x = 4,718.30 × 1,761
  4. Step 4: Simplify right side
    3,149.32x = 8,308,926.30
  5. Step 5: Solve for x
    x = 8,308,926.30/3,149.32
  6. Step 6: Final answer
    x = 2,638.32

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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.