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Finding the Fourth Proportional to 2,974.92, 4,466.16 and 1,883.88

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Solution

The fourth proportional to 2,974.92, 4,466.16 and 1,883.88 is: 2,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.92 : 4,466.16 = 1,883.88 : x
  2. Step 2: Convert to fraction form
    2,974.92/4,466.16 = 1,883.88/x
  3. Step 3: Cross multiply
    2,974.92x = 4,466.16 × 1,883.88
  4. Step 4: Simplify right side
    2,974.92x = 8,413,709.50
  5. Step 5: Solve for x
    x = 8,413,709.50/2,974.92
  6. Step 6: Final answer
    x = 2,828.21

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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.