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Finding the Fourth Proportional to 2,952.62, 4,074.91 and 2,205.28

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Solution

The fourth proportional to 2,952.62, 4,074.91 and 2,205.28 is: 3,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.62 : 4,074.91 = 2,205.28 : x
  2. Step 2: Convert to fraction form
    2,952.62/4,074.91 = 2,205.28/x
  3. Step 3: Cross multiply
    2,952.62x = 4,074.91 × 2,205.28
  4. Step 4: Simplify right side
    2,952.62x = 8,986,322.20
  5. Step 5: Solve for x
    x = 8,986,322.20/2,952.62
  6. Step 6: Final answer
    x = 3,043.51

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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.