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Finding the Fourth Proportional to 2,171.42, 2,994.62 and 1,704.86

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Solution

The fourth proportional to 2,171.42, 2,994.62 and 1,704.86 is: 2,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.42 : 2,994.62 = 1,704.86 : x
  2. Step 2: Convert to fraction form
    2,171.42/2,994.62 = 1,704.86/x
  3. Step 3: Cross multiply
    2,171.42x = 2,994.62 × 1,704.86
  4. Step 4: Simplify right side
    2,171.42x = 5,105,407.85
  5. Step 5: Solve for x
    x = 5,105,407.85/2,171.42
  6. Step 6: Final answer
    x = 2,351.18

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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.