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Finding the Fourth Proportional to 1,952.92, 2,928.99 and 565.90

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Solution

The fourth proportional to 1,952.92, 2,928.99 and 565.90 is: 848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.92 : 2,928.99 = 565.90 : x
  2. Step 2: Convert to fraction form
    1,952.92/2,928.99 = 565.90/x
  3. Step 3: Cross multiply
    1,952.92x = 2,928.99 × 565.90
  4. Step 4: Simplify right side
    1,952.92x = 1,657,515.44
  5. Step 5: Solve for x
    x = 1,657,515.44/1,952.92
  6. Step 6: Final answer
    x = 848.74

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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.