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Finding the Fourth Proportional to 2,741.95, 4,112.93 and 1,282.13

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Solution

The fourth proportional to 2,741.95, 4,112.93 and 1,282.13 is: 1,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.95 : 4,112.93 = 1,282.13 : x
  2. Step 2: Convert to fraction form
    2,741.95/4,112.93 = 1,282.13/x
  3. Step 3: Cross multiply
    2,741.95x = 4,112.93 × 1,282.13
  4. Step 4: Simplify right side
    2,741.95x = 5,273,301.79
  5. Step 5: Solve for x
    x = 5,273,301.79/2,741.95
  6. Step 6: Final answer
    x = 1,923.19

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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.