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Finding the Fourth Proportional to 2,188.58, 3,282.83 and 545.13

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Solution

The fourth proportional to 2,188.58, 3,282.83 and 545.13 is: 817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.58 : 3,282.83 = 545.13 : x
  2. Step 2: Convert to fraction form
    2,188.58/3,282.83 = 545.13/x
  3. Step 3: Cross multiply
    2,188.58x = 3,282.83 × 545.13
  4. Step 4: Simplify right side
    2,188.58x = 1,789,566.39
  5. Step 5: Solve for x
    x = 1,789,566.39/2,188.58
  6. Step 6: Final answer
    x = 817.69

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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.