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Finding the Fourth Proportional to 2,712.62, 4,068.92 and 980.84

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Solution

The fourth proportional to 2,712.62, 4,068.92 and 980.84 is: 1,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.62 : 4,068.92 = 980.84 : x
  2. Step 2: Convert to fraction form
    2,712.62/4,068.92 = 980.84/x
  3. Step 3: Cross multiply
    2,712.62x = 4,068.92 × 980.84
  4. Step 4: Simplify right side
    2,712.62x = 3,990,939.15
  5. Step 5: Solve for x
    x = 3,990,939.15/2,712.62
  6. Step 6: Final answer
    x = 1,471.25

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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.