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Finding the Fourth Proportional to 2,279.81, 3,146.14 and 1,231.88

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Solution

The fourth proportional to 2,279.81, 3,146.14 and 1,231.88 is: 1,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.81 : 3,146.14 = 1,231.88 : x
  2. Step 2: Convert to fraction form
    2,279.81/3,146.14 = 1,231.88/x
  3. Step 3: Cross multiply
    2,279.81x = 3,146.14 × 1,231.88
  4. Step 4: Simplify right side
    2,279.81x = 3,875,652.75
  5. Step 5: Solve for x
    x = 3,875,652.75/2,279.81
  6. Step 6: Final answer
    x = 1,699.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.