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Finding the Fourth Proportional to 2,425.34, 3,638.02 and 964.48

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Solution

The fourth proportional to 2,425.34, 3,638.02 and 964.48 is: 1,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.34 : 3,638.02 = 964.48 : x
  2. Step 2: Convert to fraction form
    2,425.34/3,638.02 = 964.48/x
  3. Step 3: Cross multiply
    2,425.34x = 3,638.02 × 964.48
  4. Step 4: Simplify right side
    2,425.34x = 3,508,797.53
  5. Step 5: Solve for x
    x = 3,508,797.53/2,425.34
  6. Step 6: Final answer
    x = 1,446.72

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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.