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Finding the Fourth Proportional to 2,717.94, 3,743.74 and 2,536.50

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Solution

The fourth proportional to 2,717.94, 3,743.74 and 2,536.50 is: 3,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.94 : 3,743.74 = 2,536.50 : x
  2. Step 2: Convert to fraction form
    2,717.94/3,743.74 = 2,536.50/x
  3. Step 3: Cross multiply
    2,717.94x = 3,743.74 × 2,536.50
  4. Step 4: Simplify right side
    2,717.94x = 9,495,996.51
  5. Step 5: Solve for x
    x = 9,495,996.51/2,717.94
  6. Step 6: Final answer
    x = 3,493.82

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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.