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Finding the Fourth Proportional to 2,713.93, 3,742.91 and 2,085.98

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Solution

The fourth proportional to 2,713.93, 3,742.91 and 2,085.98 is: 2,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.93 : 3,742.91 = 2,085.98 : x
  2. Step 2: Convert to fraction form
    2,713.93/3,742.91 = 2,085.98/x
  3. Step 3: Cross multiply
    2,713.93x = 3,742.91 × 2,085.98
  4. Step 4: Simplify right side
    2,713.93x = 7,807,614.08
  5. Step 5: Solve for x
    x = 7,807,614.08/2,713.93
  6. Step 6: Final answer
    x = 2,876.87

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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.