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Finding the Fourth Proportional to 2,371.08, 3,554.46 and 831.24

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Solution

The fourth proportional to 2,371.08, 3,554.46 and 831.24 is: 1,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.08 : 3,554.46 = 831.24 : x
  2. Step 2: Convert to fraction form
    2,371.08/3,554.46 = 831.24/x
  3. Step 3: Cross multiply
    2,371.08x = 3,554.46 × 831.24
  4. Step 4: Simplify right side
    2,371.08x = 2,954,609.33
  5. Step 5: Solve for x
    x = 2,954,609.33/2,371.08
  6. Step 6: Final answer
    x = 1,246.10

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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.