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Finding the Fourth Proportional to 1,733.20, 2,600.71 and 911.55

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Solution

The fourth proportional to 1,733.20, 2,600.71 and 911.55 is: 1,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.20 : 2,600.71 = 911.55 : x
  2. Step 2: Convert to fraction form
    1,733.20/2,600.71 = 911.55/x
  3. Step 3: Cross multiply
    1,733.20x = 2,600.71 × 911.55
  4. Step 4: Simplify right side
    1,733.20x = 2,370,684.67
  5. Step 5: Solve for x
    x = 2,370,684.67/1,733.20
  6. Step 6: Final answer
    x = 1,367.81

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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.