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Finding the Fourth Proportional to 2,118.91, 2,924.13 and 1,279.47

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Solution

The fourth proportional to 2,118.91, 2,924.13 and 1,279.47 is: 1,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.91 : 2,924.13 = 1,279.47 : x
  2. Step 2: Convert to fraction form
    2,118.91/2,924.13 = 1,279.47/x
  3. Step 3: Cross multiply
    2,118.91x = 2,924.13 × 1,279.47
  4. Step 4: Simplify right side
    2,118.91x = 3,741,333.35
  5. Step 5: Solve for x
    x = 3,741,333.35/2,118.91
  6. Step 6: Final answer
    x = 1,765.69

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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.