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Finding the Fourth Proportional to 2,279.59, 3,415.78 and 1,660.44

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Solution

The fourth proportional to 2,279.59, 3,415.78 and 1,660.44 is: 2,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.59 : 3,415.78 = 1,660.44 : x
  2. Step 2: Convert to fraction form
    2,279.59/3,415.78 = 1,660.44/x
  3. Step 3: Cross multiply
    2,279.59x = 3,415.78 × 1,660.44
  4. Step 4: Simplify right side
    2,279.59x = 5,671,697.74
  5. Step 5: Solve for x
    x = 5,671,697.74/2,279.59
  6. Step 6: Final answer
    x = 2,488.03

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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.