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Finding the Fourth Proportional to 1,466.82, 2,023.88 and 994.78

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Solution

The fourth proportional to 1,466.82, 2,023.88 and 994.78 is: 1,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.82 : 2,023.88 = 994.78 : x
  2. Step 2: Convert to fraction form
    1,466.82/2,023.88 = 994.78/x
  3. Step 3: Cross multiply
    1,466.82x = 2,023.88 × 994.78
  4. Step 4: Simplify right side
    1,466.82x = 2,013,315.35
  5. Step 5: Solve for x
    x = 2,013,315.35/1,466.82
  6. Step 6: Final answer
    x = 1,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.