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Finding the Fourth Proportional to 2,045.07, 2,822.09 and 1,160.75

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Solution

The fourth proportional to 2,045.07, 2,822.09 and 1,160.75 is: 1,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.07 : 2,822.09 = 1,160.75 : x
  2. Step 2: Convert to fraction form
    2,045.07/2,822.09 = 1,160.75/x
  3. Step 3: Cross multiply
    2,045.07x = 2,822.09 × 1,160.75
  4. Step 4: Simplify right side
    2,045.07x = 3,275,736.81
  5. Step 5: Solve for x
    x = 3,275,736.81/2,045.07
  6. Step 6: Final answer
    x = 1,601.78

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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.