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Finding the Fourth Proportional to 2,064.29, 3,096.53 and 831.53

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Solution

The fourth proportional to 2,064.29, 3,096.53 and 831.53 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.29 : 3,096.53 = 831.53 : x
  2. Step 2: Convert to fraction form
    2,064.29/3,096.53 = 831.53/x
  3. Step 3: Cross multiply
    2,064.29x = 3,096.53 × 831.53
  4. Step 4: Simplify right side
    2,064.29x = 2,574,859.67
  5. Step 5: Solve for x
    x = 2,574,859.67/2,064.29
  6. Step 6: Final answer
    x = 1,247.34

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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.