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Finding the Fourth Proportional to 1,338.66, 2,003.10 and 1,306.26

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Solution

The fourth proportional to 1,338.66, 2,003.10 and 1,306.26 is: 1,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.66 : 2,003.10 = 1,306.26 : x
  2. Step 2: Convert to fraction form
    1,338.66/2,003.10 = 1,306.26/x
  3. Step 3: Cross multiply
    1,338.66x = 2,003.10 × 1,306.26
  4. Step 4: Simplify right side
    1,338.66x = 2,616,569.41
  5. Step 5: Solve for x
    x = 2,616,569.41/1,338.66
  6. Step 6: Final answer
    x = 1,954.62

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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.