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Finding the Fourth Proportional to 3,291.75, 4,940.06 and 1,560.38

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Solution

The fourth proportional to 3,291.75, 4,940.06 and 1,560.38 is: 2,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.75 : 4,940.06 = 1,560.38 : x
  2. Step 2: Convert to fraction form
    3,291.75/4,940.06 = 1,560.38/x
  3. Step 3: Cross multiply
    3,291.75x = 4,940.06 × 1,560.38
  4. Step 4: Simplify right side
    3,291.75x = 7,708,338.32
  5. Step 5: Solve for x
    x = 7,708,338.32/3,291.75
  6. Step 6: Final answer
    x = 2,341.71

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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.