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Finding the Fourth Proportional to 2,104.94, 2,904.82 and 1,160.71

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Solution

The fourth proportional to 2,104.94, 2,904.82 and 1,160.71 is: 1,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.94 : 2,904.82 = 1,160.71 : x
  2. Step 2: Convert to fraction form
    2,104.94/2,904.82 = 1,160.71/x
  3. Step 3: Cross multiply
    2,104.94x = 2,904.82 × 1,160.71
  4. Step 4: Simplify right side
    2,104.94x = 3,371,653.62
  5. Step 5: Solve for x
    x = 3,371,653.62/2,104.94
  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.