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Finding the Fourth Proportional to 1,835.32, 2,751.18 and 862.24

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Solution

The fourth proportional to 1,835.32, 2,751.18 and 862.24 is: 1,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.32 : 2,751.18 = 862.24 : x
  2. Step 2: Convert to fraction form
    1,835.32/2,751.18 = 862.24/x
  3. Step 3: Cross multiply
    1,835.32x = 2,751.18 × 862.24
  4. Step 4: Simplify right side
    1,835.32x = 2,372,177.44
  5. Step 5: Solve for x
    x = 2,372,177.44/1,835.32
  6. Step 6: Final answer
    x = 1,292.51

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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.