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Finding the Fourth Proportional to 2,369.01, 3,269.01 and 1,374.09

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Solution

The fourth proportional to 2,369.01, 3,269.01 and 1,374.09 is: 1,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.01 : 3,269.01 = 1,374.09 : x
  2. Step 2: Convert to fraction form
    2,369.01/3,269.01 = 1,374.09/x
  3. Step 3: Cross multiply
    2,369.01x = 3,269.01 × 1,374.09
  4. Step 4: Simplify right side
    2,369.01x = 4,491,913.95
  5. Step 5: Solve for x
    x = 4,491,913.95/2,369.01
  6. Step 6: Final answer
    x = 1,896.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.