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Finding the Fourth Proportional to 2,585.08, 3,877.60 and 735.94

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Solution

The fourth proportional to 2,585.08, 3,877.60 and 735.94 is: 1,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.08 : 3,877.60 = 735.94 : x
  2. Step 2: Convert to fraction form
    2,585.08/3,877.60 = 735.94/x
  3. Step 3: Cross multiply
    2,585.08x = 3,877.60 × 735.94
  4. Step 4: Simplify right side
    2,585.08x = 2,853,680.94
  5. Step 5: Solve for x
    x = 2,853,680.94/2,585.08
  6. Step 6: Final answer
    x = 1,103.90

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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.