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Finding the Fourth Proportional to 1,242.30, 1,863.69 and 1,160.70

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Solution

The fourth proportional to 1,242.30, 1,863.69 and 1,160.70 is: 1,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.30 : 1,863.69 = 1,160.70 : x
  2. Step 2: Convert to fraction form
    1,242.30/1,863.69 = 1,160.70/x
  3. Step 3: Cross multiply
    1,242.30x = 1,863.69 × 1,160.70
  4. Step 4: Simplify right side
    1,242.30x = 2,163,184.98
  5. Step 5: Solve for x
    x = 2,163,184.98/1,242.30
  6. Step 6: Final answer
    x = 1,741.27

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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.