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Finding the Fourth Proportional to 3,160.96, 4,744.01 and 2,237.40

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Solution

The fourth proportional to 3,160.96, 4,744.01 and 2,237.40 is: 3,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.96 : 4,744.01 = 2,237.40 : x
  2. Step 2: Convert to fraction form
    3,160.96/4,744.01 = 2,237.40/x
  3. Step 3: Cross multiply
    3,160.96x = 4,744.01 × 2,237.40
  4. Step 4: Simplify right side
    3,160.96x = 10,614,253.57
  5. Step 5: Solve for x
    x = 10,614,253.57/3,160.96
  6. Step 6: Final answer
    x = 3,357.92

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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.