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Finding the Fourth Proportional to 2,742.48, 4,093.44 and 2,397.84

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Solution

The fourth proportional to 2,742.48, 4,093.44 and 2,397.84 is: 3,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.48 : 4,093.44 = 2,397.84 : x
  2. Step 2: Convert to fraction form
    2,742.48/4,093.44 = 2,397.84/x
  3. Step 3: Cross multiply
    2,742.48x = 4,093.44 × 2,397.84
  4. Step 4: Simplify right side
    2,742.48x = 9,815,414.17
  5. Step 5: Solve for x
    x = 9,815,414.17/2,742.48
  6. Step 6: Final answer
    x = 3,579.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.