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Finding the Fourth Proportional to 1,952.44, 2,928.80 and 565.79

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Solution

The fourth proportional to 1,952.44, 2,928.80 and 565.79 is: 848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.44 : 2,928.80 = 565.79 : x
  2. Step 2: Convert to fraction form
    1,952.44/2,928.80 = 565.79/x
  3. Step 3: Cross multiply
    1,952.44x = 2,928.80 × 565.79
  4. Step 4: Simplify right side
    1,952.44x = 1,657,087.17
  5. Step 5: Solve for x
    x = 1,657,087.17/1,952.44
  6. Step 6: Final answer
    x = 848.73

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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.