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Finding the Fourth Proportional to 2,378.27, 3,567.87 and 734.93

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Solution

The fourth proportional to 2,378.27, 3,567.87 and 734.93 is: 1,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.27 : 3,567.87 = 734.93 : x
  2. Step 2: Convert to fraction form
    2,378.27/3,567.87 = 734.93/x
  3. Step 3: Cross multiply
    2,378.27x = 3,567.87 × 734.93
  4. Step 4: Simplify right side
    2,378.27x = 2,622,116.86
  5. Step 5: Solve for x
    x = 2,622,116.86/2,378.27
  6. Step 6: Final answer
    x = 1,102.53

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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.