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Finding the Fourth Proportional to 2,632.57, 3,630.22 and 2,260.78

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Solution

The fourth proportional to 2,632.57, 3,630.22 and 2,260.78 is: 3,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.57 : 3,630.22 = 2,260.78 : x
  2. Step 2: Convert to fraction form
    2,632.57/3,630.22 = 2,260.78/x
  3. Step 3: Cross multiply
    2,632.57x = 3,630.22 × 2,260.78
  4. Step 4: Simplify right side
    2,632.57x = 8,207,128.77
  5. Step 5: Solve for x
    x = 8,207,128.77/2,632.57
  6. Step 6: Final answer
    x = 3,117.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.