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Finding the Fourth Proportional to 2,282.80, 3,425.08 and 1,186.48

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Solution

The fourth proportional to 2,282.80, 3,425.08 and 1,186.48 is: 1,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.80 : 3,425.08 = 1,186.48 : x
  2. Step 2: Convert to fraction form
    2,282.80/3,425.08 = 1,186.48/x
  3. Step 3: Cross multiply
    2,282.80x = 3,425.08 × 1,186.48
  4. Step 4: Simplify right side
    2,282.80x = 4,063,788.92
  5. Step 5: Solve for x
    x = 4,063,788.92/2,282.80
  6. Step 6: Final answer
    x = 1,780.18

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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.