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Finding the Fourth Proportional to 2,063.68, 3,096.23 and 831.47

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Solution

The fourth proportional to 2,063.68, 3,096.23 and 831.47 is: 1,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.68 : 3,096.23 = 831.47 : x
  2. Step 2: Convert to fraction form
    2,063.68/3,096.23 = 831.47/x
  3. Step 3: Cross multiply
    2,063.68x = 3,096.23 × 831.47
  4. Step 4: Simplify right side
    2,063.68x = 2,574,402.72
  5. Step 5: Solve for x
    x = 2,574,402.72/2,063.68
  6. Step 6: Final answer
    x = 1,247.48

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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.