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Finding the Fourth Proportional to 1,366.24, 2,049.37 and 847.75

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Solution

The fourth proportional to 1,366.24, 2,049.37 and 847.75 is: 1,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.24 : 2,049.37 = 847.75 : x
  2. Step 2: Convert to fraction form
    1,366.24/2,049.37 = 847.75/x
  3. Step 3: Cross multiply
    1,366.24x = 2,049.37 × 847.75
  4. Step 4: Simplify right side
    1,366.24x = 1,737,346.17
  5. Step 5: Solve for x
    x = 1,737,346.17/1,366.24
  6. Step 6: Final answer
    x = 1,271.63

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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.