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Finding the Fourth Proportional to 3,291.89, 4,542.89 and 2,174.70

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Solution

The fourth proportional to 3,291.89, 4,542.89 and 2,174.70 is: 3,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.89 : 4,542.89 = 2,174.70 : x
  2. Step 2: Convert to fraction form
    3,291.89/4,542.89 = 2,174.70/x
  3. Step 3: Cross multiply
    3,291.89x = 4,542.89 × 2,174.70
  4. Step 4: Simplify right side
    3,291.89x = 9,879,403.49
  5. Step 5: Solve for x
    x = 9,879,403.49/3,291.89
  6. Step 6: Final answer
    x = 3,001.13

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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.