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Finding the Fourth Proportional to 2,587.86, 3,881.76 and 640.07

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Solution

The fourth proportional to 2,587.86, 3,881.76 and 640.07 is: 960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.86 : 3,881.76 = 640.07 : x
  2. Step 2: Convert to fraction form
    2,587.86/3,881.76 = 640.07/x
  3. Step 3: Cross multiply
    2,587.86x = 3,881.76 × 640.07
  4. Step 4: Simplify right side
    2,587.86x = 2,484,593.27
  5. Step 5: Solve for x
    x = 2,484,593.27/2,587.86
  6. Step 6: Final answer
    x = 960.09

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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.