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Finding the Fourth Proportional to 2,429.46, 3,640.94 and 1,503.90

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Solution

The fourth proportional to 2,429.46, 3,640.94 and 1,503.90 is: 2,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.46 : 3,640.94 = 1,503.90 : x
  2. Step 2: Convert to fraction form
    2,429.46/3,640.94 = 1,503.90/x
  3. Step 3: Cross multiply
    2,429.46x = 3,640.94 × 1,503.90
  4. Step 4: Simplify right side
    2,429.46x = 5,475,609.67
  5. Step 5: Solve for x
    x = 5,475,609.67/2,429.46
  6. Step 6: Final answer
    x = 2,253.84

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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.