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Finding the Fourth Proportional to 2,779.94, 4,168.69 and 831.69

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Solution

The fourth proportional to 2,779.94, 4,168.69 and 831.69 is: 1,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.94 : 4,168.69 = 831.69 : x
  2. Step 2: Convert to fraction form
    2,779.94/4,168.69 = 831.69/x
  3. Step 3: Cross multiply
    2,779.94x = 4,168.69 × 831.69
  4. Step 4: Simplify right side
    2,779.94x = 3,467,057.79
  5. Step 5: Solve for x
    x = 3,467,057.79/2,779.94
  6. Step 6: Final answer
    x = 1,247.17

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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.