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Finding the Fourth Proportional to 2,253.34, 3,380.01 and 954.82

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Solution

The fourth proportional to 2,253.34, 3,380.01 and 954.82 is: 1,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.34 : 3,380.01 = 954.82 : x
  2. Step 2: Convert to fraction form
    2,253.34/3,380.01 = 954.82/x
  3. Step 3: Cross multiply
    2,253.34x = 3,380.01 × 954.82
  4. Step 4: Simplify right side
    2,253.34x = 3,227,301.15
  5. Step 5: Solve for x
    x = 3,227,301.15/2,253.34
  6. Step 6: Final answer
    x = 1,432.23

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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.