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Finding the Fourth Proportional to 3,106.48, 4,286.76 and 1,779.88

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Solution

The fourth proportional to 3,106.48, 4,286.76 and 1,779.88 is: 2,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.48 : 4,286.76 = 1,779.88 : x
  2. Step 2: Convert to fraction form
    3,106.48/4,286.76 = 1,779.88/x
  3. Step 3: Cross multiply
    3,106.48x = 4,286.76 × 1,779.88
  4. Step 4: Simplify right side
    3,106.48x = 7,629,918.39
  5. Step 5: Solve for x
    x = 7,629,918.39/3,106.48
  6. Step 6: Final answer
    x = 2,456.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.