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Finding the Fourth Proportional to 2,779.47, 3,832.52 and 2,079.63

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Solution

The fourth proportional to 2,779.47, 3,832.52 and 2,079.63 is: 2,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.47 : 3,832.52 = 2,079.63 : x
  2. Step 2: Convert to fraction form
    2,779.47/3,832.52 = 2,079.63/x
  3. Step 3: Cross multiply
    2,779.47x = 3,832.52 × 2,079.63
  4. Step 4: Simplify right side
    2,779.47x = 7,970,213.17
  5. Step 5: Solve for x
    x = 7,970,213.17/2,779.47
  6. Step 6: Final answer
    x = 2,867.53

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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.