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Finding the Fourth Proportional to 2,188.32, 3,281.49 and 627.97

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Solution

The fourth proportional to 2,188.32, 3,281.49 and 627.97 is: 941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.32 : 3,281.49 = 627.97 : x
  2. Step 2: Convert to fraction form
    2,188.32/3,281.49 = 627.97/x
  3. Step 3: Cross multiply
    2,188.32x = 3,281.49 × 627.97
  4. Step 4: Simplify right side
    2,188.32x = 2,060,669.07
  5. Step 5: Solve for x
    x = 2,060,669.07/2,188.32
  6. Step 6: Final answer
    x = 941.67

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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.