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Finding the Fourth Proportional to 2,406.78, 3,610.31 and 675.54

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Solution

The fourth proportional to 2,406.78, 3,610.31 and 675.54 is: 1,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.78 : 3,610.31 = 675.54 : x
  2. Step 2: Convert to fraction form
    2,406.78/3,610.31 = 675.54/x
  3. Step 3: Cross multiply
    2,406.78x = 3,610.31 × 675.54
  4. Step 4: Simplify right side
    2,406.78x = 2,438,908.82
  5. Step 5: Solve for x
    x = 2,438,908.82/2,406.78
  6. Step 6: Final answer
    x = 1,013.35

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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.