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Finding the Fourth Proportional to 2,952.30, 4,074.13 and 1,625.97

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Solution

The fourth proportional to 2,952.30, 4,074.13 and 1,625.97 is: 2,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.30 : 4,074.13 = 1,625.97 : x
  2. Step 2: Convert to fraction form
    2,952.30/4,074.13 = 1,625.97/x
  3. Step 3: Cross multiply
    2,952.30x = 4,074.13 × 1,625.97
  4. Step 4: Simplify right side
    2,952.30x = 6,624,417.22
  5. Step 5: Solve for x
    x = 6,624,417.22/2,952.30
  6. Step 6: Final answer
    x = 2,243.82

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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.