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Finding the Fourth Proportional to 1,551.59, 2,138.19 and 1,286.42

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Solution

The fourth proportional to 1,551.59, 2,138.19 and 1,286.42 is: 1,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.59 : 2,138.19 = 1,286.42 : x
  2. Step 2: Convert to fraction form
    1,551.59/2,138.19 = 1,286.42/x
  3. Step 3: Cross multiply
    1,551.59x = 2,138.19 × 1,286.42
  4. Step 4: Simplify right side
    1,551.59x = 2,750,610.22
  5. Step 5: Solve for x
    x = 2,750,610.22/1,551.59
  6. Step 6: Final answer
    x = 1,772.77

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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.