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Finding the Fourth Proportional to 1,848.75, 2,773.13 and 550.23

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Solution

The fourth proportional to 1,848.75, 2,773.13 and 550.23 is: 825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.75 : 2,773.13 = 550.23 : x
  2. Step 2: Convert to fraction form
    1,848.75/2,773.13 = 550.23/x
  3. Step 3: Cross multiply
    1,848.75x = 2,773.13 × 550.23
  4. Step 4: Simplify right side
    1,848.75x = 1,525,856.57
  5. Step 5: Solve for x
    x = 1,525,856.57/1,848.75
  6. Step 6: Final answer
    x = 825.35

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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.