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Finding the Fourth Proportional to 2,686.78, 4,028.36 and 1,371

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Solution

The fourth proportional to 2,686.78, 4,028.36 and 1,371 is: 2,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.78 : 4,028.36 = 1,371 : x
  2. Step 2: Convert to fraction form
    2,686.78/4,028.36 = 1,371/x
  3. Step 3: Cross multiply
    2,686.78x = 4,028.36 × 1,371
  4. Step 4: Simplify right side
    2,686.78x = 5,522,881.56
  5. Step 5: Solve for x
    x = 5,522,881.56/2,686.78
  6. Step 6: Final answer
    x = 2,055.58

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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.