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Finding the Fourth Proportional to 3,129.93, 4,687.98 and 2,140.40

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Solution

The fourth proportional to 3,129.93, 4,687.98 and 2,140.40 is: 3,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.93 : 4,687.98 = 2,140.40 : x
  2. Step 2: Convert to fraction form
    3,129.93/4,687.98 = 2,140.40/x
  3. Step 3: Cross multiply
    3,129.93x = 4,687.98 × 2,140.40
  4. Step 4: Simplify right side
    3,129.93x = 10,034,162.11
  5. Step 5: Solve for x
    x = 10,034,162.11/3,129.93
  6. Step 6: Final answer
    x = 3,205.87

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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.