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Finding the Fourth Proportional to 2,104.67, 2,904.43 and 1,160.47

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Solution

The fourth proportional to 2,104.67, 2,904.43 and 1,160.47 is: 1,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.67 : 2,904.43 = 1,160.47 : x
  2. Step 2: Convert to fraction form
    2,104.67/2,904.43 = 1,160.47/x
  3. Step 3: Cross multiply
    2,104.67x = 2,904.43 × 1,160.47
  4. Step 4: Simplify right side
    2,104.67x = 3,370,493.72
  5. Step 5: Solve for x
    x = 3,370,493.72/2,104.67
  6. Step 6: Final answer
    x = 1,601.44

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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.