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Finding the Fourth Proportional to 2,715.58, 4,073.78 and 866.76

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Solution

The fourth proportional to 2,715.58, 4,073.78 and 866.76 is: 1,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.58 : 4,073.78 = 866.76 : x
  2. Step 2: Convert to fraction form
    2,715.58/4,073.78 = 866.76/x
  3. Step 3: Cross multiply
    2,715.58x = 4,073.78 × 866.76
  4. Step 4: Simplify right side
    2,715.58x = 3,530,989.55
  5. Step 5: Solve for x
    x = 3,530,989.55/2,715.58
  6. Step 6: Final answer
    x = 1,300.27

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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.