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Finding the Fourth Proportional to 2,969.75, 4,454.62 and 2,042.50

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Solution

The fourth proportional to 2,969.75, 4,454.62 and 2,042.50 is: 3,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.75 : 4,454.62 = 2,042.50 : x
  2. Step 2: Convert to fraction form
    2,969.75/4,454.62 = 2,042.50/x
  3. Step 3: Cross multiply
    2,969.75x = 4,454.62 × 2,042.50
  4. Step 4: Simplify right side
    2,969.75x = 9,098,545.11
  5. Step 5: Solve for x
    x = 9,098,545.11/2,969.75
  6. Step 6: Final answer
    x = 3,063.75

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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.