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Finding the Fourth Proportional to 2,077.88, 3,115.26 and 981.62

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Solution

The fourth proportional to 2,077.88, 3,115.26 and 981.62 is: 1,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.88 : 3,115.26 = 981.62 : x
  2. Step 2: Convert to fraction form
    2,077.88/3,115.26 = 981.62/x
  3. Step 3: Cross multiply
    2,077.88x = 3,115.26 × 981.62
  4. Step 4: Simplify right side
    2,077.88x = 3,058,001.52
  5. Step 5: Solve for x
    x = 3,058,001.52/2,077.88
  6. Step 6: Final answer
    x = 1,471.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.