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Finding the Fourth Proportional to 2,279.62, 3,419.54 and 1,046.46

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Solution

The fourth proportional to 2,279.62, 3,419.54 and 1,046.46 is: 1,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.62 : 3,419.54 = 1,046.46 : x
  2. Step 2: Convert to fraction form
    2,279.62/3,419.54 = 1,046.46/x
  3. Step 3: Cross multiply
    2,279.62x = 3,419.54 × 1,046.46
  4. Step 4: Simplify right side
    2,279.62x = 3,578,411.83
  5. Step 5: Solve for x
    x = 3,578,411.83/2,279.62
  6. Step 6: Final answer
    x = 1,569.74

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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.