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Finding the Fourth Proportional to 2,279.12, 3,420.60 and 981.56

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Solution

The fourth proportional to 2,279.12, 3,420.60 and 981.56 is: 1,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.12 : 3,420.60 = 981.56 : x
  2. Step 2: Convert to fraction form
    2,279.12/3,420.60 = 981.56/x
  3. Step 3: Cross multiply
    2,279.12x = 3,420.60 × 981.56
  4. Step 4: Simplify right side
    2,279.12x = 3,357,524.14
  5. Step 5: Solve for x
    x = 3,357,524.14/2,279.12
  6. Step 6: Final answer
    x = 1,473.17

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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.