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Finding the Fourth Proportional to 2,779.95, 3,833.73 and 2,034.55

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Solution

The fourth proportional to 2,779.95, 3,833.73 and 2,034.55 is: 2,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.95 : 3,833.73 = 2,034.55 : x
  2. Step 2: Convert to fraction form
    2,779.95/3,833.73 = 2,034.55/x
  3. Step 3: Cross multiply
    2,779.95x = 3,833.73 × 2,034.55
  4. Step 4: Simplify right side
    2,779.95x = 7,799,920.16
  5. Step 5: Solve for x
    x = 7,799,920.16/2,779.95
  6. Step 6: Final answer
    x = 2,805.77

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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.