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Finding the Fourth Proportional to 1,349.96, 1,863.14 and 1,266.57

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Solution

The fourth proportional to 1,349.96, 1,863.14 and 1,266.57 is: 1,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.96 : 1,863.14 = 1,266.57 : x
  2. Step 2: Convert to fraction form
    1,349.96/1,863.14 = 1,266.57/x
  3. Step 3: Cross multiply
    1,349.96x = 1,863.14 × 1,266.57
  4. Step 4: Simplify right side
    1,349.96x = 2,359,797.23
  5. Step 5: Solve for x
    x = 2,359,797.23/1,349.96
  6. Step 6: Final answer
    x = 1,748.05

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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.