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Finding the Fourth Proportional to 2,712.12, 4,068.45 and 980.34

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Solution

The fourth proportional to 2,712.12, 4,068.45 and 980.34 is: 1,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.12 : 4,068.45 = 980.34 : x
  2. Step 2: Convert to fraction form
    2,712.12/4,068.45 = 980.34/x
  3. Step 3: Cross multiply
    2,712.12x = 4,068.45 × 980.34
  4. Step 4: Simplify right side
    2,712.12x = 3,988,464.27
  5. Step 5: Solve for x
    x = 3,988,464.27/2,712.12
  6. Step 6: Final answer
    x = 1,470.61

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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.