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Finding the Fourth Proportional to 3,132.80, 4,322 and 1,805.78

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Solution

The fourth proportional to 3,132.80, 4,322 and 1,805.78 is: 2,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.80 : 4,322 = 1,805.78 : x
  2. Step 2: Convert to fraction form
    3,132.80/4,322 = 1,805.78/x
  3. Step 3: Cross multiply
    3,132.80x = 4,322 × 1,805.78
  4. Step 4: Simplify right side
    3,132.80x = 7,804,581.16
  5. Step 5: Solve for x
    x = 7,804,581.16/3,132.80
  6. Step 6: Final answer
    x = 2,491.25

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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.