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Finding the Fourth Proportional to 2,049.69, 2,827.17 and 1,210.43

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Solution

The fourth proportional to 2,049.69, 2,827.17 and 1,210.43 is: 1,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.69 : 2,827.17 = 1,210.43 : x
  2. Step 2: Convert to fraction form
    2,049.69/2,827.17 = 1,210.43/x
  3. Step 3: Cross multiply
    2,049.69x = 2,827.17 × 1,210.43
  4. Step 4: Simplify right side
    2,049.69x = 3,422,077.25
  5. Step 5: Solve for x
    x = 3,422,077.25/2,049.69
  6. Step 6: Final answer
    x = 1,669.56

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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.