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Finding the Fourth Proportional to 2,402.90, 3,601.76 and 1,167.72

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Solution

The fourth proportional to 2,402.90, 3,601.76 and 1,167.72 is: 1,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.90 : 3,601.76 = 1,167.72 : x
  2. Step 2: Convert to fraction form
    2,402.90/3,601.76 = 1,167.72/x
  3. Step 3: Cross multiply
    2,402.90x = 3,601.76 × 1,167.72
  4. Step 4: Simplify right side
    2,402.90x = 4,205,834.59
  5. Step 5: Solve for x
    x = 4,205,834.59/2,402.90
  6. Step 6: Final answer
    x = 1,750.31

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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.