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Finding the Fourth Proportional to 2,049.59, 2,827.82 and 1,210.37

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Solution

The fourth proportional to 2,049.59, 2,827.82 and 1,210.37 is: 1,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.59 : 2,827.82 = 1,210.37 : x
  2. Step 2: Convert to fraction form
    2,049.59/2,827.82 = 1,210.37/x
  3. Step 3: Cross multiply
    2,049.59x = 2,827.82 × 1,210.37
  4. Step 4: Simplify right side
    2,049.59x = 3,422,688.30
  5. Step 5: Solve for x
    x = 3,422,688.30/2,049.59
  6. Step 6: Final answer
    x = 1,669.94

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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.