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Finding the Fourth Proportional to 3,044.99, 4,202.07 and 1,647.74

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Solution

The fourth proportional to 3,044.99, 4,202.07 and 1,647.74 is: 2,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.99 : 4,202.07 = 1,647.74 : x
  2. Step 2: Convert to fraction form
    3,044.99/4,202.07 = 1,647.74/x
  3. Step 3: Cross multiply
    3,044.99x = 4,202.07 × 1,647.74
  4. Step 4: Simplify right side
    3,044.99x = 6,923,897.81
  5. Step 5: Solve for x
    x = 6,923,897.81/3,044.99
  6. Step 6: Final answer
    x = 2,273.87

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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.