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Finding the Fourth Proportional to 2,545.29, 3,814.62 and 1,844.85

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Solution

The fourth proportional to 2,545.29, 3,814.62 and 1,844.85 is: 2,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.29 : 3,814.62 = 1,844.85 : x
  2. Step 2: Convert to fraction form
    2,545.29/3,814.62 = 1,844.85/x
  3. Step 3: Cross multiply
    2,545.29x = 3,814.62 × 1,844.85
  4. Step 4: Simplify right side
    2,545.29x = 7,037,401.71
  5. Step 5: Solve for x
    x = 7,037,401.71/2,545.29
  6. Step 6: Final answer
    x = 2,764.87

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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.