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Finding the Fourth Proportional to 2,227.35, 3,341.48 and 746.72

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Solution

The fourth proportional to 2,227.35, 3,341.48 and 746.72 is: 1,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.35 : 3,341.48 = 746.72 : x
  2. Step 2: Convert to fraction form
    2,227.35/3,341.48 = 746.72/x
  3. Step 3: Cross multiply
    2,227.35x = 3,341.48 × 746.72
  4. Step 4: Simplify right side
    2,227.35x = 2,495,149.95
  5. Step 5: Solve for x
    x = 2,495,149.95/2,227.35
  6. Step 6: Final answer
    x = 1,120.23

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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.