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Finding the Fourth Proportional to 3,059.60, 4,588.70 and 867.78

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Solution

The fourth proportional to 3,059.60, 4,588.70 and 867.78 is: 1,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.60 : 4,588.70 = 867.78 : x
  2. Step 2: Convert to fraction form
    3,059.60/4,588.70 = 867.78/x
  3. Step 3: Cross multiply
    3,059.60x = 4,588.70 × 867.78
  4. Step 4: Simplify right side
    3,059.60x = 3,981,977.75
  5. Step 5: Solve for x
    x = 3,981,977.75/3,059.60
  6. Step 6: Final answer
    x = 1,301.47

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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.