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Finding the Fourth Proportional to 2,169.62, 3,256.18 and 1,129.94

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Solution

The fourth proportional to 2,169.62, 3,256.18 and 1,129.94 is: 1,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.62 : 3,256.18 = 1,129.94 : x
  2. Step 2: Convert to fraction form
    2,169.62/3,256.18 = 1,129.94/x
  3. Step 3: Cross multiply
    2,169.62x = 3,256.18 × 1,129.94
  4. Step 4: Simplify right side
    2,169.62x = 3,679,288.03
  5. Step 5: Solve for x
    x = 3,679,288.03/2,169.62
  6. Step 6: Final answer
    x = 1,695.82

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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.