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Finding the Fourth Proportional to 3,452.95, 4,765.06 and 1,960.80

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Solution

The fourth proportional to 3,452.95, 4,765.06 and 1,960.80 is: 2,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.95 : 4,765.06 = 1,960.80 : x
  2. Step 2: Convert to fraction form
    3,452.95/4,765.06 = 1,960.80/x
  3. Step 3: Cross multiply
    3,452.95x = 4,765.06 × 1,960.80
  4. Step 4: Simplify right side
    3,452.95x = 9,343,329.65
  5. Step 5: Solve for x
    x = 9,343,329.65/3,452.95
  6. Step 6: Final answer
    x = 2,705.90

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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.