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Finding the Fourth Proportional to 2,704.14, 3,730.84 and 1,508.93

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Solution

The fourth proportional to 2,704.14, 3,730.84 and 1,508.93 is: 2,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.14 : 3,730.84 = 1,508.93 : x
  2. Step 2: Convert to fraction form
    2,704.14/3,730.84 = 1,508.93/x
  3. Step 3: Cross multiply
    2,704.14x = 3,730.84 × 1,508.93
  4. Step 4: Simplify right side
    2,704.14x = 5,629,592.28
  5. Step 5: Solve for x
    x = 5,629,592.28/2,704.14
  6. Step 6: Final answer
    x = 2,081.84

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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.