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Finding the Fourth Proportional to 1,594.82, 2,200.74 and 886.61

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Solution

The fourth proportional to 1,594.82, 2,200.74 and 886.61 is: 1,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.82 : 2,200.74 = 886.61 : x
  2. Step 2: Convert to fraction form
    1,594.82/2,200.74 = 886.61/x
  3. Step 3: Cross multiply
    1,594.82x = 2,200.74 × 886.61
  4. Step 4: Simplify right side
    1,594.82x = 1,951,198.46
  5. Step 5: Solve for x
    x = 1,951,198.46/1,594.82
  6. Step 6: Final answer
    x = 1,223.46

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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.