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Finding the Fourth Proportional to 1,286.60, 1,922.36 and 951.62

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Solution

The fourth proportional to 1,286.60, 1,922.36 and 951.62 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.60 : 1,922.36 = 951.62 : x
  2. Step 2: Convert to fraction form
    1,286.60/1,922.36 = 951.62/x
  3. Step 3: Cross multiply
    1,286.60x = 1,922.36 × 951.62
  4. Step 4: Simplify right side
    1,286.60x = 1,829,341.85
  5. Step 5: Solve for x
    x = 1,829,341.85/1,286.60
  6. Step 6: Final answer
    x = 1,421.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.