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Finding the Fourth Proportional to 2,324.12, 3,484.35 and 862.47

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Solution

The fourth proportional to 2,324.12, 3,484.35 and 862.47 is: 1,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.12 : 3,484.35 = 862.47 : x
  2. Step 2: Convert to fraction form
    2,324.12/3,484.35 = 862.47/x
  3. Step 3: Cross multiply
    2,324.12x = 3,484.35 × 862.47
  4. Step 4: Simplify right side
    2,324.12x = 3,005,147.34
  5. Step 5: Solve for x
    x = 3,005,147.34/2,324.12
  6. Step 6: Final answer
    x = 1,293.03

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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.