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Finding the Fourth Proportional to 2,704.15, 3,731.77 and 1,585.89

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Solution

The fourth proportional to 2,704.15, 3,731.77 and 1,585.89 is: 2,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.15 : 3,731.77 = 1,585.89 : x
  2. Step 2: Convert to fraction form
    2,704.15/3,731.77 = 1,585.89/x
  3. Step 3: Cross multiply
    2,704.15x = 3,731.77 × 1,585.89
  4. Step 4: Simplify right side
    2,704.15x = 5,918,176.73
  5. Step 5: Solve for x
    x = 5,918,176.73/2,704.15
  6. Step 6: Final answer
    x = 2,188.55

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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.