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Finding the Fourth Proportional to 2,734.74, 4,102.83 and 979.92

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Solution

The fourth proportional to 2,734.74, 4,102.83 and 979.92 is: 1,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.74 : 4,102.83 = 979.92 : x
  2. Step 2: Convert to fraction form
    2,734.74/4,102.83 = 979.92/x
  3. Step 3: Cross multiply
    2,734.74x = 4,102.83 × 979.92
  4. Step 4: Simplify right side
    2,734.74x = 4,020,445.17
  5. Step 5: Solve for x
    x = 4,020,445.17/2,734.74
  6. Step 6: Final answer
    x = 1,470.14

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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.