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Finding the Fourth Proportional to 2,251.89, 3,377.84 and 608.45

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Solution

The fourth proportional to 2,251.89, 3,377.84 and 608.45 is: 912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.89 : 3,377.84 = 608.45 : x
  2. Step 2: Convert to fraction form
    2,251.89/3,377.84 = 608.45/x
  3. Step 3: Cross multiply
    2,251.89x = 3,377.84 × 608.45
  4. Step 4: Simplify right side
    2,251.89x = 2,055,226.82
  5. Step 5: Solve for x
    x = 2,055,226.82/2,251.89
  6. Step 6: Final answer
    x = 912.67

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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.