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Finding the Fourth Proportional to 2,509.88, 3,763.92 and 866

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Solution

The fourth proportional to 2,509.88, 3,763.92 and 866 is: 1,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.88 : 3,763.92 = 866 : x
  2. Step 2: Convert to fraction form
    2,509.88/3,763.92 = 866/x
  3. Step 3: Cross multiply
    2,509.88x = 3,763.92 × 866
  4. Step 4: Simplify right side
    2,509.88x = 3,259,554.72
  5. Step 5: Solve for x
    x = 3,259,554.72/2,509.88
  6. Step 6: Final answer
    x = 1,298.69

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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.