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Finding the Fourth Proportional to 2,281.36, 3,422.03 and 637.70

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Solution

The fourth proportional to 2,281.36, 3,422.03 and 637.70 is: 956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.36 : 3,422.03 = 637.70 : x
  2. Step 2: Convert to fraction form
    2,281.36/3,422.03 = 637.70/x
  3. Step 3: Cross multiply
    2,281.36x = 3,422.03 × 637.70
  4. Step 4: Simplify right side
    2,281.36x = 2,182,211.42
  5. Step 5: Solve for x
    x = 2,182,211.42/2,281.36
  6. Step 6: Final answer
    x = 956.54

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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.