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Finding the Fourth Proportional to 2,237.54, 3,359.76 and 1,822.88

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Solution

The fourth proportional to 2,237.54, 3,359.76 and 1,822.88 is: 2,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.54 : 3,359.76 = 1,822.88 : x
  2. Step 2: Convert to fraction form
    2,237.54/3,359.76 = 1,822.88/x
  3. Step 3: Cross multiply
    2,237.54x = 3,359.76 × 1,822.88
  4. Step 4: Simplify right side
    2,237.54x = 6,124,439.31
  5. Step 5: Solve for x
    x = 6,124,439.31/2,237.54
  6. Step 6: Final answer
    x = 2,737.13

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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.