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Finding the Fourth Proportional to 2,240.97, 3,093.80 and 1,742.51

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Solution

The fourth proportional to 2,240.97, 3,093.80 and 1,742.51 is: 2,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.97 : 3,093.80 = 1,742.51 : x
  2. Step 2: Convert to fraction form
    2,240.97/3,093.80 = 1,742.51/x
  3. Step 3: Cross multiply
    2,240.97x = 3,093.80 × 1,742.51
  4. Step 4: Simplify right side
    2,240.97x = 5,390,976.46
  5. Step 5: Solve for x
    x = 5,390,976.46/2,240.97
  6. Step 6: Final answer
    x = 2,405.65

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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.