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Finding the Fourth Proportional to 2,682.78, 4,024.56 and 1,017.54

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Solution

The fourth proportional to 2,682.78, 4,024.56 and 1,017.54 is: 1,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.78 : 4,024.56 = 1,017.54 : x
  2. Step 2: Convert to fraction form
    2,682.78/4,024.56 = 1,017.54/x
  3. Step 3: Cross multiply
    2,682.78x = 4,024.56 × 1,017.54
  4. Step 4: Simplify right side
    2,682.78x = 4,095,150.78
  5. Step 5: Solve for x
    x = 4,095,150.78/2,682.78
  6. Step 6: Final answer
    x = 1,526.46

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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.