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Finding the Fourth Proportional to 2,104.68, 2,904.42 and 1,160.56

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Solution

The fourth proportional to 2,104.68, 2,904.42 and 1,160.56 is: 1,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.68 : 2,904.42 = 1,160.56 : x
  2. Step 2: Convert to fraction form
    2,104.68/2,904.42 = 1,160.56/x
  3. Step 3: Cross multiply
    2,104.68x = 2,904.42 × 1,160.56
  4. Step 4: Simplify right side
    2,104.68x = 3,370,753.68
  5. Step 5: Solve for x
    x = 3,370,753.68/2,104.68
  6. Step 6: Final answer
    x = 1,601.55

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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.