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Finding the Fourth Proportional to 2,779.41, 4,166.20 and 1,316.82

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Solution

The fourth proportional to 2,779.41, 4,166.20 and 1,316.82 is: 1,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.41 : 4,166.20 = 1,316.82 : x
  2. Step 2: Convert to fraction form
    2,779.41/4,166.20 = 1,316.82/x
  3. Step 3: Cross multiply
    2,779.41x = 4,166.20 × 1,316.82
  4. Step 4: Simplify right side
    2,779.41x = 5,486,135.48
  5. Step 5: Solve for x
    x = 5,486,135.48/2,779.41
  6. Step 6: Final answer
    x = 1,973.85

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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.