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Finding the Fourth Proportional to 2,184.52, 3,277.44 and 724.68

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Solution

The fourth proportional to 2,184.52, 3,277.44 and 724.68 is: 1,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.52 : 3,277.44 = 724.68 : x
  2. Step 2: Convert to fraction form
    2,184.52/3,277.44 = 724.68/x
  3. Step 3: Cross multiply
    2,184.52x = 3,277.44 × 724.68
  4. Step 4: Simplify right side
    2,184.52x = 2,375,095.22
  5. Step 5: Solve for x
    x = 2,375,095.22/2,184.52
  6. Step 6: Final answer
    x = 1,087.24

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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.