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Finding the Fourth Proportional to 3,176.78, 4,383.90 and 1,779.80

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Solution

The fourth proportional to 3,176.78, 4,383.90 and 1,779.80 is: 2,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.78 : 4,383.90 = 1,779.80 : x
  2. Step 2: Convert to fraction form
    3,176.78/4,383.90 = 1,779.80/x
  3. Step 3: Cross multiply
    3,176.78x = 4,383.90 × 1,779.80
  4. Step 4: Simplify right side
    3,176.78x = 7,802,465.22
  5. Step 5: Solve for x
    x = 7,802,465.22/3,176.78
  6. Step 6: Final answer
    x = 2,456.09

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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.