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Finding the Fourth Proportional to 2,587.50, 3,881.62 and 831.92

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Solution

The fourth proportional to 2,587.50, 3,881.62 and 831.92 is: 1,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.50 : 3,881.62 = 831.92 : x
  2. Step 2: Convert to fraction form
    2,587.50/3,881.62 = 831.92/x
  3. Step 3: Cross multiply
    2,587.50x = 3,881.62 × 831.92
  4. Step 4: Simplify right side
    2,587.50x = 3,229,173.74
  5. Step 5: Solve for x
    x = 3,229,173.74/2,587.50
  6. Step 6: Final answer
    x = 1,247.99

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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.