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Finding the Fourth Proportional to 3,070.70, 4,604.42 and 1,338.38

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Solution

The fourth proportional to 3,070.70, 4,604.42 and 1,338.38 is: 2,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,604.42 = 1,338.38 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,604.42 = 1,338.38/x
  3. Step 3: Cross multiply
    3,070.70x = 4,604.42 × 1,338.38
  4. Step 4: Simplify right side
    3,070.70x = 6,162,443.96
  5. Step 5: Solve for x
    x = 6,162,443.96/3,070.70
  6. Step 6: Final answer
    x = 2,006.86

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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.