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Finding the Fourth Proportional to 2,502.85, 3,749.41 and 1,205.23

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Solution

The fourth proportional to 2,502.85, 3,749.41 and 1,205.23 is: 1,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.85 : 3,749.41 = 1,205.23 : x
  2. Step 2: Convert to fraction form
    2,502.85/3,749.41 = 1,205.23/x
  3. Step 3: Cross multiply
    2,502.85x = 3,749.41 × 1,205.23
  4. Step 4: Simplify right side
    2,502.85x = 4,518,879.65
  5. Step 5: Solve for x
    x = 4,518,879.65/2,502.85
  6. Step 6: Final answer
    x = 1,805.50

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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.