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Finding the Fourth Proportional to 2,583.39, 3,562.92 and 1,873.83

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Solution

The fourth proportional to 2,583.39, 3,562.92 and 1,873.83 is: 2,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.39 : 3,562.92 = 1,873.83 : x
  2. Step 2: Convert to fraction form
    2,583.39/3,562.92 = 1,873.83/x
  3. Step 3: Cross multiply
    2,583.39x = 3,562.92 × 1,873.83
  4. Step 4: Simplify right side
    2,583.39x = 6,676,306.38
  5. Step 5: Solve for x
    x = 6,676,306.38/2,583.39
  6. Step 6: Final answer
    x = 2,584.32

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Why These Related Problems?

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