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Finding the Fourth Proportional to 2,064.54, 3,096.93 and 831.77

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Solution

The fourth proportional to 2,064.54, 3,096.93 and 831.77 is: 1,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.54 : 3,096.93 = 831.77 : x
  2. Step 2: Convert to fraction form
    2,064.54/3,096.93 = 831.77/x
  3. Step 3: Cross multiply
    2,064.54x = 3,096.93 × 831.77
  4. Step 4: Simplify right side
    2,064.54x = 2,575,932.71
  5. Step 5: Solve for x
    x = 2,575,932.71/2,064.54
  6. Step 6: Final answer
    x = 1,247.70

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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.