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Finding the Fourth Proportional to 1,952.87, 2,929.41 and 566.33

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Solution

The fourth proportional to 1,952.87, 2,929.41 and 566.33 is: 849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.87 : 2,929.41 = 566.33 : x
  2. Step 2: Convert to fraction form
    1,952.87/2,929.41 = 566.33/x
  3. Step 3: Cross multiply
    1,952.87x = 2,929.41 × 566.33
  4. Step 4: Simplify right side
    1,952.87x = 1,658,998.12
  5. Step 5: Solve for x
    x = 1,658,998.12/1,952.87
  6. Step 6: Final answer
    x = 849.52

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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.