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Finding the Fourth Proportional to 1,864.65, 2,796.98 and 1,835.85

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Solution

The fourth proportional to 1,864.65, 2,796.98 and 1,835.85 is: 2,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.65 : 2,796.98 = 1,835.85 : x
  2. Step 2: Convert to fraction form
    1,864.65/2,796.98 = 1,835.85/x
  3. Step 3: Cross multiply
    1,864.65x = 2,796.98 × 1,835.85
  4. Step 4: Simplify right side
    1,864.65x = 5,134,826.55
  5. Step 5: Solve for x
    x = 5,134,826.55/1,864.65
  6. Step 6: Final answer
    x = 2,753.78

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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.