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Finding the Fourth Proportional to 2,738.91, 3,779.62 and 1,543.95

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Solution

The fourth proportional to 2,738.91, 3,779.62 and 1,543.95 is: 2,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.91 : 3,779.62 = 1,543.95 : x
  2. Step 2: Convert to fraction form
    2,738.91/3,779.62 = 1,543.95/x
  3. Step 3: Cross multiply
    2,738.91x = 3,779.62 × 1,543.95
  4. Step 4: Simplify right side
    2,738.91x = 5,835,544.30
  5. Step 5: Solve for x
    x = 5,835,544.30/2,738.91
  6. Step 6: Final answer
    x = 2,130.61

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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.