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Finding the Fourth Proportional to 1,647.74, 2,273.59 and 984.55

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Solution

The fourth proportional to 1,647.74, 2,273.59 and 984.55 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.74 : 2,273.59 = 984.55 : x
  2. Step 2: Convert to fraction form
    1,647.74/2,273.59 = 984.55/x
  3. Step 3: Cross multiply
    1,647.74x = 2,273.59 × 984.55
  4. Step 4: Simplify right side
    1,647.74x = 2,238,463.03
  5. Step 5: Solve for x
    x = 2,238,463.03/1,647.74
  6. Step 6: Final answer
    x = 1,358.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.