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Finding the Fourth Proportional to 2,188.52, 3,282.70 and 545.02

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Solution

The fourth proportional to 2,188.52, 3,282.70 and 545.02 is: 817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.52 : 3,282.70 = 545.02 : x
  2. Step 2: Convert to fraction form
    2,188.52/3,282.70 = 545.02/x
  3. Step 3: Cross multiply
    2,188.52x = 3,282.70 × 545.02
  4. Step 4: Simplify right side
    2,188.52x = 1,789,137.15
  5. Step 5: Solve for x
    x = 1,789,137.15/2,188.52
  6. Step 6: Final answer
    x = 817.51

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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.