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Finding the Fourth Proportional to 1,338.10, 2,006.52 and 868.81

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Solution

The fourth proportional to 1,338.10, 2,006.52 and 868.81 is: 1,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.10 : 2,006.52 = 868.81 : x
  2. Step 2: Convert to fraction form
    1,338.10/2,006.52 = 868.81/x
  3. Step 3: Cross multiply
    1,338.10x = 2,006.52 × 868.81
  4. Step 4: Simplify right side
    1,338.10x = 1,743,284.64
  5. Step 5: Solve for x
    x = 1,743,284.64/1,338.10
  6. Step 6: Final answer
    x = 1,302.81

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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.