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Finding the Fourth Proportional to 2,692.05, 4,038.38 and 717.76

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Solution

The fourth proportional to 2,692.05, 4,038.38 and 717.76 is: 1,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.05 : 4,038.38 = 717.76 : x
  2. Step 2: Convert to fraction form
    2,692.05/4,038.38 = 717.76/x
  3. Step 3: Cross multiply
    2,692.05x = 4,038.38 × 717.76
  4. Step 4: Simplify right side
    2,692.05x = 2,898,591.78
  5. Step 5: Solve for x
    x = 2,898,591.78/2,692.05
  6. Step 6: Final answer
    x = 1,076.72

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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.