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Finding the Fourth Proportional to 2,184.82, 3,277.66 and 724.06

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Solution

The fourth proportional to 2,184.82, 3,277.66 and 724.06 is: 1,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.82 : 3,277.66 = 724.06 : x
  2. Step 2: Convert to fraction form
    2,184.82/3,277.66 = 724.06/x
  3. Step 3: Cross multiply
    2,184.82x = 3,277.66 × 724.06
  4. Step 4: Simplify right side
    2,184.82x = 2,373,222.50
  5. Step 5: Solve for x
    x = 2,373,222.50/2,184.82
  6. Step 6: Final answer
    x = 1,086.23

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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.