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Finding the Fourth Proportional to 2,587.05, 3,880.91 and 831.62

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Solution

The fourth proportional to 2,587.05, 3,880.91 and 831.62 is: 1,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.05 : 3,880.91 = 831.62 : x
  2. Step 2: Convert to fraction form
    2,587.05/3,880.91 = 831.62/x
  3. Step 3: Cross multiply
    2,587.05x = 3,880.91 × 831.62
  4. Step 4: Simplify right side
    2,587.05x = 3,227,454.16
  5. Step 5: Solve for x
    x = 3,227,454.16/2,587.05
  6. Step 6: Final answer
    x = 1,247.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.