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Finding the Fourth Proportional to 2,244.32, 3,366.28 and 684.67

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Solution

The fourth proportional to 2,244.32, 3,366.28 and 684.67 is: 1,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.32 : 3,366.28 = 684.67 : x
  2. Step 2: Convert to fraction form
    2,244.32/3,366.28 = 684.67/x
  3. Step 3: Cross multiply
    2,244.32x = 3,366.28 × 684.67
  4. Step 4: Simplify right side
    2,244.32x = 2,304,780.80
  5. Step 5: Solve for x
    x = 2,304,780.80/2,244.32
  6. Step 6: Final answer
    x = 1,026.94

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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.