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Finding the Fourth Proportional to 2,250.95, 3,376.82 and 952.52

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Solution

The fourth proportional to 2,250.95, 3,376.82 and 952.52 is: 1,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.95 : 3,376.82 = 952.52 : x
  2. Step 2: Convert to fraction form
    2,250.95/3,376.82 = 952.52/x
  3. Step 3: Cross multiply
    2,250.95x = 3,376.82 × 952.52
  4. Step 4: Simplify right side
    2,250.95x = 3,216,474.08
  5. Step 5: Solve for x
    x = 3,216,474.08/2,250.95
  6. Step 6: Final answer
    x = 1,428.94

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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.