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Finding the Fourth Proportional to 2,279.96, 3,417.84 and 1,238.44

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Solution

The fourth proportional to 2,279.96, 3,417.84 and 1,238.44 is: 1,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.96 : 3,417.84 = 1,238.44 : x
  2. Step 2: Convert to fraction form
    2,279.96/3,417.84 = 1,238.44/x
  3. Step 3: Cross multiply
    2,279.96x = 3,417.84 × 1,238.44
  4. Step 4: Simplify right side
    2,279.96x = 4,232,789.77
  5. Step 5: Solve for x
    x = 4,232,789.77/2,279.96
  6. Step 6: Final answer
    x = 1,856.52

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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.