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Finding the Fourth Proportional to 1,227.60, 1,837.35 and 952.20

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Solution

The fourth proportional to 1,227.60, 1,837.35 and 952.20 is: 1,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.60 : 1,837.35 = 952.20 : x
  2. Step 2: Convert to fraction form
    1,227.60/1,837.35 = 952.20/x
  3. Step 3: Cross multiply
    1,227.60x = 1,837.35 × 952.20
  4. Step 4: Simplify right side
    1,227.60x = 1,749,524.67
  5. Step 5: Solve for x
    x = 1,749,524.67/1,227.60
  6. Step 6: Final answer
    x = 1,425.16

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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.