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Finding the Fourth Proportional to 2,032.48, 3,048.18 and 862.43

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Solution

The fourth proportional to 2,032.48, 3,048.18 and 862.43 is: 1,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.48 : 3,048.18 = 862.43 : x
  2. Step 2: Convert to fraction form
    2,032.48/3,048.18 = 862.43/x
  3. Step 3: Cross multiply
    2,032.48x = 3,048.18 × 862.43
  4. Step 4: Simplify right side
    2,032.48x = 2,628,845.40
  5. Step 5: Solve for x
    x = 2,628,845.40/2,032.48
  6. Step 6: Final answer
    x = 1,293.42

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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.