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Finding the Fourth Proportional to 1,610.46, 2,416.20 and 636.03

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Solution

The fourth proportional to 1,610.46, 2,416.20 and 636.03 is: 954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.46 : 2,416.20 = 636.03 : x
  2. Step 2: Convert to fraction form
    1,610.46/2,416.20 = 636.03/x
  3. Step 3: Cross multiply
    1,610.46x = 2,416.20 × 636.03
  4. Step 4: Simplify right side
    1,610.46x = 1,536,775.69
  5. Step 5: Solve for x
    x = 1,536,775.69/1,610.46
  6. Step 6: Final answer
    x = 954.25

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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.