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Finding the Fourth Proportional to 1,843.53, 2,545.26 and 1,423.14

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Solution

The fourth proportional to 1,843.53, 2,545.26 and 1,423.14 is: 1,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.53 : 2,545.26 = 1,423.14 : x
  2. Step 2: Convert to fraction form
    1,843.53/2,545.26 = 1,423.14/x
  3. Step 3: Cross multiply
    1,843.53x = 2,545.26 × 1,423.14
  4. Step 4: Simplify right side
    1,843.53x = 3,622,246.43
  5. Step 5: Solve for x
    x = 3,622,246.43/1,843.53
  6. Step 6: Final answer
    x = 1,964.85

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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.