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Finding the Fourth Proportional to 2,563.30, 3,843 and 1,177.04

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Solution

The fourth proportional to 2,563.30, 3,843 and 1,177.04 is: 1,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.30 : 3,843 = 1,177.04 : x
  2. Step 2: Convert to fraction form
    2,563.30/3,843 = 1,177.04/x
  3. Step 3: Cross multiply
    2,563.30x = 3,843 × 1,177.04
  4. Step 4: Simplify right side
    2,563.30x = 4,523,364.72
  5. Step 5: Solve for x
    x = 4,523,364.72/2,563.30
  6. Step 6: Final answer
    x = 1,764.66

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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.