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Finding the Fourth Proportional to 2,374, 3,563.21 and 1,204.83

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Solution

The fourth proportional to 2,374, 3,563.21 and 1,204.83 is: 1,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374 : 3,563.21 = 1,204.83 : x
  2. Step 2: Convert to fraction form
    2,374/3,563.21 = 1,204.83/x
  3. Step 3: Cross multiply
    2,374x = 3,563.21 × 1,204.83
  4. Step 4: Simplify right side
    2,374x = 4,293,062.30
  5. Step 5: Solve for x
    x = 4,293,062.30/2,374
  6. Step 6: Final answer
    x = 1,808.37

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Why These Related Problems?

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