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Finding the Fourth Proportional to 2,206.74, 3,044.75 and 1,616.25

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Solution

The fourth proportional to 2,206.74, 3,044.75 and 1,616.25 is: 2,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.74 : 3,044.75 = 1,616.25 : x
  2. Step 2: Convert to fraction form
    2,206.74/3,044.75 = 1,616.25/x
  3. Step 3: Cross multiply
    2,206.74x = 3,044.75 × 1,616.25
  4. Step 4: Simplify right side
    2,206.74x = 4,921,077.19
  5. Step 5: Solve for x
    x = 4,921,077.19/2,206.74
  6. Step 6: Final answer
    x = 2,230.02

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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.