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Finding the Fourth Proportional to 1,367.75, 2,053.62 and 849.96

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Solution

The fourth proportional to 1,367.75, 2,053.62 and 849.96 is: 1,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.75 : 2,053.62 = 849.96 : x
  2. Step 2: Convert to fraction form
    1,367.75/2,053.62 = 849.96/x
  3. Step 3: Cross multiply
    1,367.75x = 2,053.62 × 849.96
  4. Step 4: Simplify right side
    1,367.75x = 1,745,494.86
  5. Step 5: Solve for x
    x = 1,745,494.86/1,367.75
  6. Step 6: Final answer
    x = 1,276.18

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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.