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Finding the Fourth Proportional to 2,779.76, 4,169.86 and 831.93

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Solution

The fourth proportional to 2,779.76, 4,169.86 and 831.93 is: 1,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.76 : 4,169.86 = 831.93 : x
  2. Step 2: Convert to fraction form
    2,779.76/4,169.86 = 831.93/x
  3. Step 3: Cross multiply
    2,779.76x = 4,169.86 × 831.93
  4. Step 4: Simplify right side
    2,779.76x = 3,469,031.63
  5. Step 5: Solve for x
    x = 3,469,031.63/2,779.76
  6. Step 6: Final answer
    x = 1,247.96

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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.