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Finding the Fourth Proportional to 1,390.38, 2,086.82 and 611.58

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Solution

The fourth proportional to 1,390.38, 2,086.82 and 611.58 is: 917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.38 : 2,086.82 = 611.58 : x
  2. Step 2: Convert to fraction form
    1,390.38/2,086.82 = 611.58/x
  3. Step 3: Cross multiply
    1,390.38x = 2,086.82 × 611.58
  4. Step 4: Simplify right side
    1,390.38x = 1,276,257.38
  5. Step 5: Solve for x
    x = 1,276,257.38/1,390.38
  6. Step 6: Final answer
    x = 917.92

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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.