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Finding the Fourth Proportional to 2,584.68, 3,876.48 and 735.32

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Solution

The fourth proportional to 2,584.68, 3,876.48 and 735.32 is: 1,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.68 : 3,876.48 = 735.32 : x
  2. Step 2: Convert to fraction form
    2,584.68/3,876.48 = 735.32/x
  3. Step 3: Cross multiply
    2,584.68x = 3,876.48 × 735.32
  4. Step 4: Simplify right side
    2,584.68x = 2,850,433.89
  5. Step 5: Solve for x
    x = 2,850,433.89/2,584.68
  6. Step 6: Final answer
    x = 1,102.82

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1.5x scale

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.