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Finding the Fourth Proportional to 2,486.36, 3,729.66 and 926.78

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Solution

The fourth proportional to 2,486.36, 3,729.66 and 926.78 is: 1,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.36 : 3,729.66 = 926.78 : x
  2. Step 2: Convert to fraction form
    2,486.36/3,729.66 = 926.78/x
  3. Step 3: Cross multiply
    2,486.36x = 3,729.66 × 926.78
  4. Step 4: Simplify right side
    2,486.36x = 3,456,574.29
  5. Step 5: Solve for x
    x = 3,456,574.29/2,486.36
  6. Step 6: Final answer
    x = 1,390.21

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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.