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Finding the Fourth Proportional to 2,779.19, 4,168.93 and 831.41

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Solution

The fourth proportional to 2,779.19, 4,168.93 and 831.41 is: 1,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.19 : 4,168.93 = 831.41 : x
  2. Step 2: Convert to fraction form
    2,779.19/4,168.93 = 831.41/x
  3. Step 3: Cross multiply
    2,779.19x = 4,168.93 × 831.41
  4. Step 4: Simplify right side
    2,779.19x = 3,466,090.09
  5. Step 5: Solve for x
    x = 3,466,090.09/2,779.19
  6. Step 6: Final answer
    x = 1,247.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.