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Finding the Fourth Proportional to 2,174.57, 3,255.64 and 1,442.69

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Solution

The fourth proportional to 2,174.57, 3,255.64 and 1,442.69 is: 2,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.57 : 3,255.64 = 1,442.69 : x
  2. Step 2: Convert to fraction form
    2,174.57/3,255.64 = 1,442.69/x
  3. Step 3: Cross multiply
    2,174.57x = 3,255.64 × 1,442.69
  4. Step 4: Simplify right side
    2,174.57x = 4,696,879.27
  5. Step 5: Solve for x
    x = 4,696,879.27/2,174.57
  6. Step 6: Final answer
    x = 2,159.91

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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.