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Finding the Fourth Proportional to 2,737.71, 4,097.19 and 2,299.41

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Solution

The fourth proportional to 2,737.71, 4,097.19 and 2,299.41 is: 3,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.71 : 4,097.19 = 2,299.41 : x
  2. Step 2: Convert to fraction form
    2,737.71/4,097.19 = 2,299.41/x
  3. Step 3: Cross multiply
    2,737.71x = 4,097.19 × 2,299.41
  4. Step 4: Simplify right side
    2,737.71x = 9,421,119.66
  5. Step 5: Solve for x
    x = 9,421,119.66/2,737.71
  6. Step 6: Final answer
    x = 3,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.