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Finding the Fourth Proportional to 2,587.21, 3,879.63 and 831.89

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Solution

The fourth proportional to 2,587.21, 3,879.63 and 831.89 is: 1,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.21 : 3,879.63 = 831.89 : x
  2. Step 2: Convert to fraction form
    2,587.21/3,879.63 = 831.89/x
  3. Step 3: Cross multiply
    2,587.21x = 3,879.63 × 831.89
  4. Step 4: Simplify right side
    2,587.21x = 3,227,441.51
  5. Step 5: Solve for x
    x = 3,227,441.51/2,587.21
  6. Step 6: Final answer
    x = 1,247.46

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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.