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Finding the Fourth Proportional to 3,129.65, 4,695.14 and 1,181.87

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Solution

The fourth proportional to 3,129.65, 4,695.14 and 1,181.87 is: 1,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.65 : 4,695.14 = 1,181.87 : x
  2. Step 2: Convert to fraction form
    3,129.65/4,695.14 = 1,181.87/x
  3. Step 3: Cross multiply
    3,129.65x = 4,695.14 × 1,181.87
  4. Step 4: Simplify right side
    3,129.65x = 5,549,045.11
  5. Step 5: Solve for x
    x = 5,549,045.11/3,129.65
  6. Step 6: Final answer
    x = 1,773.06

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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.