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Finding the Fourth Proportional to 2,832.90, 4,248.74 and 884.04

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Solution

The fourth proportional to 2,832.90, 4,248.74 and 884.04 is: 1,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.90 : 4,248.74 = 884.04 : x
  2. Step 2: Convert to fraction form
    2,832.90/4,248.74 = 884.04/x
  3. Step 3: Cross multiply
    2,832.90x = 4,248.74 × 884.04
  4. Step 4: Simplify right side
    2,832.90x = 3,756,058.32
  5. Step 5: Solve for x
    x = 3,756,058.32/2,832.90
  6. Step 6: Final answer
    x = 1,325.87

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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.