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Finding the Fourth Proportional to 3,191.74, 4,406.65 and 2,057.92

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Solution

The fourth proportional to 3,191.74, 4,406.65 and 2,057.92 is: 2,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.74 : 4,406.65 = 2,057.92 : x
  2. Step 2: Convert to fraction form
    3,191.74/4,406.65 = 2,057.92/x
  3. Step 3: Cross multiply
    3,191.74x = 4,406.65 × 2,057.92
  4. Step 4: Simplify right side
    3,191.74x = 9,068,533.17
  5. Step 5: Solve for x
    x = 9,068,533.17/3,191.74
  6. Step 6: Final answer
    x = 2,841.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.