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Finding the Fourth Proportional to 2,064.33, 3,096.45 and 831.71

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Solution

The fourth proportional to 2,064.33, 3,096.45 and 831.71 is: 1,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.33 : 3,096.45 = 831.71 : x
  2. Step 2: Convert to fraction form
    2,064.33/3,096.45 = 831.71/x
  3. Step 3: Cross multiply
    2,064.33x = 3,096.45 × 831.71
  4. Step 4: Simplify right side
    2,064.33x = 2,575,332.95
  5. Step 5: Solve for x
    x = 2,575,332.95/2,064.33
  6. Step 6: Final answer
    x = 1,247.54

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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.