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Finding the Fourth Proportional to 2,947.88, 4,066.25 and 1,952.79

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Solution

The fourth proportional to 2,947.88, 4,066.25 and 1,952.79 is: 2,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.88 : 4,066.25 = 1,952.79 : x
  2. Step 2: Convert to fraction form
    2,947.88/4,066.25 = 1,952.79/x
  3. Step 3: Cross multiply
    2,947.88x = 4,066.25 × 1,952.79
  4. Step 4: Simplify right side
    2,947.88x = 7,940,522.57
  5. Step 5: Solve for x
    x = 7,940,522.57/2,947.88
  6. Step 6: Final answer
    x = 2,693.64

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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.