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Finding the Fourth Proportional to 1,835.75, 2,747.23 and 1,502.84

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Solution

The fourth proportional to 1,835.75, 2,747.23 and 1,502.84 is: 2,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.75 : 2,747.23 = 1,502.84 : x
  2. Step 2: Convert to fraction form
    1,835.75/2,747.23 = 1,502.84/x
  3. Step 3: Cross multiply
    1,835.75x = 2,747.23 × 1,502.84
  4. Step 4: Simplify right side
    1,835.75x = 4,128,647.13
  5. Step 5: Solve for x
    x = 4,128,647.13/1,835.75
  6. Step 6: Final answer
    x = 2,249.02

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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.