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Finding the Fourth Proportional to 3,129.86, 4,697.16 and 2,140.31

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Solution

The fourth proportional to 3,129.86, 4,697.16 and 2,140.31 is: 3,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.86 : 4,697.16 = 2,140.31 : x
  2. Step 2: Convert to fraction form
    3,129.86/4,697.16 = 2,140.31/x
  3. Step 3: Cross multiply
    3,129.86x = 4,697.16 × 2,140.31
  4. Step 4: Simplify right side
    3,129.86x = 10,053,382.24
  5. Step 5: Solve for x
    x = 10,053,382.24/3,129.86
  6. Step 6: Final answer
    x = 3,212.08

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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.