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Finding the Fourth Proportional to 2,545.74, 3,814.29 and 2,027.34

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Solution

The fourth proportional to 2,545.74, 3,814.29 and 2,027.34 is: 3,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.74 : 3,814.29 = 2,027.34 : x
  2. Step 2: Convert to fraction form
    2,545.74/3,814.29 = 2,027.34/x
  3. Step 3: Cross multiply
    2,545.74x = 3,814.29 × 2,027.34
  4. Step 4: Simplify right side
    2,545.74x = 7,732,862.69
  5. Step 5: Solve for x
    x = 7,732,862.69/2,545.74
  6. Step 6: Final answer
    x = 3,037.57

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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.