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Finding the Fourth Proportional to 2,398.53, 3,600.50 and 1,857.24

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Solution

The fourth proportional to 2,398.53, 3,600.50 and 1,857.24 is: 2,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.53 : 3,600.50 = 1,857.24 : x
  2. Step 2: Convert to fraction form
    2,398.53/3,600.50 = 1,857.24/x
  3. Step 3: Cross multiply
    2,398.53x = 3,600.50 × 1,857.24
  4. Step 4: Simplify right side
    2,398.53x = 6,686,983.33
  5. Step 5: Solve for x
    x = 6,686,983.33/2,398.53
  6. Step 6: Final answer
    x = 2,787.95

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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.