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Finding the Fourth Proportional to 2,032.92, 3,048.78 and 862.90

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Solution

The fourth proportional to 2,032.92, 3,048.78 and 862.90 is: 1,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.92 : 3,048.78 = 862.90 : x
  2. Step 2: Convert to fraction form
    2,032.92/3,048.78 = 862.90/x
  3. Step 3: Cross multiply
    2,032.92x = 3,048.78 × 862.90
  4. Step 4: Simplify right side
    2,032.92x = 2,630,787.95
  5. Step 5: Solve for x
    x = 2,630,787.95/2,032.92
  6. Step 6: Final answer
    x = 1,294.09

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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.