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Finding the Fourth Proportional to 3,369.90, 5,051.74 and 1,811

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Solution

The fourth proportional to 3,369.90, 5,051.74 and 1,811 is: 2,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.90 : 5,051.74 = 1,811 : x
  2. Step 2: Convert to fraction form
    3,369.90/5,051.74 = 1,811/x
  3. Step 3: Cross multiply
    3,369.90x = 5,051.74 × 1,811
  4. Step 4: Simplify right side
    3,369.90x = 9,148,701.14
  5. Step 5: Solve for x
    x = 9,148,701.14/3,369.90
  6. Step 6: Final answer
    x = 2,714.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.