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Finding the Fourth Proportional to 2,534.88, 3,802.34 and 779.88

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Solution

The fourth proportional to 2,534.88, 3,802.34 and 779.88 is: 1,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.88 : 3,802.34 = 779.88 : x
  2. Step 2: Convert to fraction form
    2,534.88/3,802.34 = 779.88/x
  3. Step 3: Cross multiply
    2,534.88x = 3,802.34 × 779.88
  4. Step 4: Simplify right side
    2,534.88x = 2,965,346.01
  5. Step 5: Solve for x
    x = 2,965,346.01/2,534.88
  6. Step 6: Final answer
    x = 1,169.82

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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.