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Finding the Fourth Proportional to 4,822.29, 7,233.48 and 1,744.29

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Solution

The fourth proportional to 4,822.29, 7,233.48 and 1,744.29 is: 2,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.29 : 7,233.48 = 1,744.29 : x
  2. Step 2: Convert to fraction form
    4,822.29/7,233.48 = 1,744.29/x
  3. Step 3: Cross multiply
    4,822.29x = 7,233.48 × 1,744.29
  4. Step 4: Simplify right side
    4,822.29x = 12,617,286.83
  5. Step 5: Solve for x
    x = 12,617,286.83/4,822.29
  6. Step 6: Final answer
    x = 2,616.45

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1.5x scale

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.