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Finding the Fourth Proportional to 3,008.70, 4,511.76 and 1,158.90

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Solution

The fourth proportional to 3,008.70, 4,511.76 and 1,158.90 is: 1,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.70 : 4,511.76 = 1,158.90 : x
  2. Step 2: Convert to fraction form
    3,008.70/4,511.76 = 1,158.90/x
  3. Step 3: Cross multiply
    3,008.70x = 4,511.76 × 1,158.90
  4. Step 4: Simplify right side
    3,008.70x = 5,228,678.66
  5. Step 5: Solve for x
    x = 5,228,678.66/3,008.70
  6. Step 6: Final answer
    x = 1,737.85

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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.