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Finding the Fourth Proportional to 1,952.73, 2,928.49 and 566.17

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Solution

The fourth proportional to 1,952.73, 2,928.49 and 566.17 is: 849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.73 : 2,928.49 = 566.17 : x
  2. Step 2: Convert to fraction form
    1,952.73/2,928.49 = 566.17/x
  3. Step 3: Cross multiply
    1,952.73x = 2,928.49 × 566.17
  4. Step 4: Simplify right side
    1,952.73x = 1,658,015.42
  5. Step 5: Solve for x
    x = 1,658,015.42/1,952.73
  6. Step 6: Final answer
    x = 849.07

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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.