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Finding the Fourth Proportional to 2,031.75, 3,048.53 and 862.62

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Solution

The fourth proportional to 2,031.75, 3,048.53 and 862.62 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.75 : 3,048.53 = 862.62 : x
  2. Step 2: Convert to fraction form
    2,031.75/3,048.53 = 862.62/x
  3. Step 3: Cross multiply
    2,031.75x = 3,048.53 × 862.62
  4. Step 4: Simplify right side
    2,031.75x = 2,629,722.95
  5. Step 5: Solve for x
    x = 2,629,722.95/2,031.75
  6. Step 6: Final answer
    x = 1,294.31

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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.