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Finding the Fourth Proportional to 4,949.78, 7,424.61 and 1,487

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Solution

The fourth proportional to 4,949.78, 7,424.61 and 1,487 is: 2,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.78 : 7,424.61 = 1,487 : x
  2. Step 2: Convert to fraction form
    4,949.78/7,424.61 = 1,487/x
  3. Step 3: Cross multiply
    4,949.78x = 7,424.61 × 1,487
  4. Step 4: Simplify right side
    4,949.78x = 11,040,395.07
  5. Step 5: Solve for x
    x = 11,040,395.07/4,949.78
  6. Step 6: Final answer
    x = 2,230.48

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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.