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Finding the Fourth Proportional to 3,171.81, 4,377.57 and 1,913.60

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Solution

The fourth proportional to 3,171.81, 4,377.57 and 1,913.60 is: 2,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.81 : 4,377.57 = 1,913.60 : x
  2. Step 2: Convert to fraction form
    3,171.81/4,377.57 = 1,913.60/x
  3. Step 3: Cross multiply
    3,171.81x = 4,377.57 × 1,913.60
  4. Step 4: Simplify right side
    3,171.81x = 8,376,896.06
  5. Step 5: Solve for x
    x = 8,376,896.06/3,171.81
  6. Step 6: Final answer
    x = 2,641.05

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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.