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Finding the Fourth Proportional to 1,843.69, 2,545.26 and 1,423.13

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Solution

The fourth proportional to 1,843.69, 2,545.26 and 1,423.13 is: 1,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.69 : 2,545.26 = 1,423.13 : x
  2. Step 2: Convert to fraction form
    1,843.69/2,545.26 = 1,423.13/x
  3. Step 3: Cross multiply
    1,843.69x = 2,545.26 × 1,423.13
  4. Step 4: Simplify right side
    1,843.69x = 3,622,235.86
  5. Step 5: Solve for x
    x = 3,622,235.86/1,843.69
  6. Step 6: Final answer
    x = 1,964.67

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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.