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Finding the Fourth Proportional to 2,737.70, 4,097.20 and 2,299.40

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Solution

The fourth proportional to 2,737.70, 4,097.20 and 2,299.40 is: 3,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.70 : 4,097.20 = 2,299.40 : x
  2. Step 2: Convert to fraction form
    2,737.70/4,097.20 = 2,299.40/x
  3. Step 3: Cross multiply
    2,737.70x = 4,097.20 × 2,299.40
  4. Step 4: Simplify right side
    2,737.70x = 9,421,101.68
  5. Step 5: Solve for x
    x = 9,421,101.68/2,737.70
  6. Step 6: Final answer
    x = 3,441.25

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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.