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Finding the Fourth Proportional to 2,049.33, 2,827.89 and 1,164.99

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Solution

The fourth proportional to 2,049.33, 2,827.89 and 1,164.99 is: 1,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.33 : 2,827.89 = 1,164.99 : x
  2. Step 2: Convert to fraction form
    2,049.33/2,827.89 = 1,164.99/x
  3. Step 3: Cross multiply
    2,049.33x = 2,827.89 × 1,164.99
  4. Step 4: Simplify right side
    2,049.33x = 3,294,463.57
  5. Step 5: Solve for x
    x = 3,294,463.57/2,049.33
  6. Step 6: Final answer
    x = 1,607.58

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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.