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Finding the Fourth Proportional to 2,344.20, 3,512.81 and 955.83

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Solution

The fourth proportional to 2,344.20, 3,512.81 and 955.83 is: 1,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.20 : 3,512.81 = 955.83 : x
  2. Step 2: Convert to fraction form
    2,344.20/3,512.81 = 955.83/x
  3. Step 3: Cross multiply
    2,344.20x = 3,512.81 × 955.83
  4. Step 4: Simplify right side
    2,344.20x = 3,357,644.40
  5. Step 5: Solve for x
    x = 3,357,644.40/2,344.20
  6. Step 6: Final answer
    x = 1,432.32

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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.