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Finding the Fourth Proportional to 2,188.08, 3,282.75 and 728.19

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Solution

The fourth proportional to 2,188.08, 3,282.75 and 728.19 is: 1,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.08 : 3,282.75 = 728.19 : x
  2. Step 2: Convert to fraction form
    2,188.08/3,282.75 = 728.19/x
  3. Step 3: Cross multiply
    2,188.08x = 3,282.75 × 728.19
  4. Step 4: Simplify right side
    2,188.08x = 2,390,465.72
  5. Step 5: Solve for x
    x = 2,390,465.72/2,188.08
  6. Step 6: Final answer
    x = 1,092.49

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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.