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Finding the Fourth Proportional to 2,759, 3,807.42 and 1,827.50

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Solution

The fourth proportional to 2,759, 3,807.42 and 1,827.50 is: 2,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759 : 3,807.42 = 1,827.50 : x
  2. Step 2: Convert to fraction form
    2,759/3,807.42 = 1,827.50/x
  3. Step 3: Cross multiply
    2,759x = 3,807.42 × 1,827.50
  4. Step 4: Simplify right side
    2,759x = 6,958,060.05
  5. Step 5: Solve for x
    x = 6,958,060.05/2,759
  6. Step 6: Final answer
    x = 2,521.95

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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.