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Finding the Fourth Proportional to 2,587.44, 3,881.68 and 739.12

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Solution

The fourth proportional to 2,587.44, 3,881.68 and 739.12 is: 1,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.44 : 3,881.68 = 739.12 : x
  2. Step 2: Convert to fraction form
    2,587.44/3,881.68 = 739.12/x
  3. Step 3: Cross multiply
    2,587.44x = 3,881.68 × 739.12
  4. Step 4: Simplify right side
    2,587.44x = 2,869,027.32
  5. Step 5: Solve for x
    x = 2,869,027.32/2,587.44
  6. Step 6: Final answer
    x = 1,108.83

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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.