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Finding the Fourth Proportional to 2,536.84, 3,806.21 and 1,368.15

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Solution

The fourth proportional to 2,536.84, 3,806.21 and 1,368.15 is: 2,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.84 : 3,806.21 = 1,368.15 : x
  2. Step 2: Convert to fraction form
    2,536.84/3,806.21 = 1,368.15/x
  3. Step 3: Cross multiply
    2,536.84x = 3,806.21 × 1,368.15
  4. Step 4: Simplify right side
    2,536.84x = 5,207,466.21
  5. Step 5: Solve for x
    x = 5,207,466.21/2,536.84
  6. Step 6: Final answer
    x = 2,052.74

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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.