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Finding the Fourth Proportional to 3,120.92, 4,306.93 and 1,704.66

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Solution

The fourth proportional to 3,120.92, 4,306.93 and 1,704.66 is: 2,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.92 : 4,306.93 = 1,704.66 : x
  2. Step 2: Convert to fraction form
    3,120.92/4,306.93 = 1,704.66/x
  3. Step 3: Cross multiply
    3,120.92x = 4,306.93 × 1,704.66
  4. Step 4: Simplify right side
    3,120.92x = 7,341,851.29
  5. Step 5: Solve for x
    x = 7,341,851.29/3,120.92
  6. Step 6: Final answer
    x = 2,352.46

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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.