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Finding the Fourth Proportional to 2,534.90, 3,802.96 and 869

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Solution

The fourth proportional to 2,534.90, 3,802.96 and 869 is: 1,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.90 : 3,802.96 = 869 : x
  2. Step 2: Convert to fraction form
    2,534.90/3,802.96 = 869/x
  3. Step 3: Cross multiply
    2,534.90x = 3,802.96 × 869
  4. Step 4: Simplify right side
    2,534.90x = 3,304,772.24
  5. Step 5: Solve for x
    x = 3,304,772.24/2,534.90
  6. Step 6: Final answer
    x = 1,303.71

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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.