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Finding the Fourth Proportional to 2,208.43, 3,044.18 and 1,648.01

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Solution

The fourth proportional to 2,208.43, 3,044.18 and 1,648.01 is: 2,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.43 : 3,044.18 = 1,648.01 : x
  2. Step 2: Convert to fraction form
    2,208.43/3,044.18 = 1,648.01/x
  3. Step 3: Cross multiply
    2,208.43x = 3,044.18 × 1,648.01
  4. Step 4: Simplify right side
    2,208.43x = 5,016,850.81
  5. Step 5: Solve for x
    x = 5,016,850.81/2,208.43
  6. Step 6: Final answer
    x = 2,271.68

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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.