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Finding the Fourth Proportional to 1,952.85, 2,928.84 and 565.88

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Solution

The fourth proportional to 1,952.85, 2,928.84 and 565.88 is: 848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.85 : 2,928.84 = 565.88 : x
  2. Step 2: Convert to fraction form
    1,952.85/2,928.84 = 565.88/x
  3. Step 3: Cross multiply
    1,952.85x = 2,928.84 × 565.88
  4. Step 4: Simplify right side
    1,952.85x = 1,657,371.98
  5. Step 5: Solve for x
    x = 1,657,371.98/1,952.85
  6. Step 6: Final answer
    x = 848.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.