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Finding the Fourth Proportional to 3,134.88, 4,701.24 and 1,187.64

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Solution

The fourth proportional to 3,134.88, 4,701.24 and 1,187.64 is: 1,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.88 : 4,701.24 = 1,187.64 : x
  2. Step 2: Convert to fraction form
    3,134.88/4,701.24 = 1,187.64/x
  3. Step 3: Cross multiply
    3,134.88x = 4,701.24 × 1,187.64
  4. Step 4: Simplify right side
    3,134.88x = 5,583,380.67
  5. Step 5: Solve for x
    x = 5,583,380.67/3,134.88
  6. Step 6: Final answer
    x = 1,781.05

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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.