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Finding the Fourth Proportional to 2,207.41, 3,311.54 and 746.66

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Solution

The fourth proportional to 2,207.41, 3,311.54 and 746.66 is: 1,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.41 : 3,311.54 = 746.66 : x
  2. Step 2: Convert to fraction form
    2,207.41/3,311.54 = 746.66/x
  3. Step 3: Cross multiply
    2,207.41x = 3,311.54 × 746.66
  4. Step 4: Simplify right side
    2,207.41x = 2,472,594.46
  5. Step 5: Solve for x
    x = 2,472,594.46/2,207.41
  6. Step 6: Final answer
    x = 1,120.13

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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.