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Finding the Fourth Proportional to 2,557.79, 3,814.09 and 2,246.71

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Solution

The fourth proportional to 2,557.79, 3,814.09 and 2,246.71 is: 3,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.79 : 3,814.09 = 2,246.71 : x
  2. Step 2: Convert to fraction form
    2,557.79/3,814.09 = 2,246.71/x
  3. Step 3: Cross multiply
    2,557.79x = 3,814.09 × 2,246.71
  4. Step 4: Simplify right side
    2,557.79x = 8,569,154.57
  5. Step 5: Solve for x
    x = 8,569,154.57/2,557.79
  6. Step 6: Final answer
    x = 3,350.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.