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Finding the Fourth Proportional to 1,446.30, 2,170.36 and 831.20

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Solution

The fourth proportional to 1,446.30, 2,170.36 and 831.20 is: 1,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.30 : 2,170.36 = 831.20 : x
  2. Step 2: Convert to fraction form
    1,446.30/2,170.36 = 831.20/x
  3. Step 3: Cross multiply
    1,446.30x = 2,170.36 × 831.20
  4. Step 4: Simplify right side
    1,446.30x = 1,804,006.58
  5. Step 5: Solve for x
    x = 1,804,006.58/1,446.30
  6. Step 6: Final answer
    x = 1,247.33

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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.