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Finding the Fourth Proportional to 1,364.27, 2,047.21 and 747.86

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Solution

The fourth proportional to 1,364.27, 2,047.21 and 747.86 is: 1,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.27 : 2,047.21 = 747.86 : x
  2. Step 2: Convert to fraction form
    1,364.27/2,047.21 = 747.86/x
  3. Step 3: Cross multiply
    1,364.27x = 2,047.21 × 747.86
  4. Step 4: Simplify right side
    1,364.27x = 1,531,026.47
  5. Step 5: Solve for x
    x = 1,531,026.47/1,364.27
  6. Step 6: Final answer
    x = 1,122.23

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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.