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Finding the Fourth Proportional to 2,174.52, 3,262.72 and 1,020.26

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Solution

The fourth proportional to 2,174.52, 3,262.72 and 1,020.26 is: 1,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.52 : 3,262.72 = 1,020.26 : x
  2. Step 2: Convert to fraction form
    2,174.52/3,262.72 = 1,020.26/x
  3. Step 3: Cross multiply
    2,174.52x = 3,262.72 × 1,020.26
  4. Step 4: Simplify right side
    2,174.52x = 3,328,822.71
  5. Step 5: Solve for x
    x = 3,328,822.71/2,174.52
  6. Step 6: Final answer
    x = 1,530.83

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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.