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Finding the Fourth Proportional to 1,369.67, 1,885.58 and 1,306.90

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Solution

The fourth proportional to 1,369.67, 1,885.58 and 1,306.90 is: 1,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.67 : 1,885.58 = 1,306.90 : x
  2. Step 2: Convert to fraction form
    1,369.67/1,885.58 = 1,306.90/x
  3. Step 3: Cross multiply
    1,369.67x = 1,885.58 × 1,306.90
  4. Step 4: Simplify right side
    1,369.67x = 2,464,257.97
  5. Step 5: Solve for x
    x = 2,464,257.97/1,369.67
  6. Step 6: Final answer
    x = 1,799.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.