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Finding the Fourth Proportional to 2,706.50, 4,038.81 and 2,414.90

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Solution

The fourth proportional to 2,706.50, 4,038.81 and 2,414.90 is: 3,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.50 : 4,038.81 = 2,414.90 : x
  2. Step 2: Convert to fraction form
    2,706.50/4,038.81 = 2,414.90/x
  3. Step 3: Cross multiply
    2,706.50x = 4,038.81 × 2,414.90
  4. Step 4: Simplify right side
    2,706.50x = 9,753,310.19
  5. Step 5: Solve for x
    x = 9,753,310.19/2,706.50
  6. Step 6: Final answer
    x = 3,603.66

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Why These Related Problems?

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