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Finding the Fourth Proportional to 2,133.23, 3,200.24 and 652.55

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Solution

The fourth proportional to 2,133.23, 3,200.24 and 652.55 is: 978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.23 : 3,200.24 = 652.55 : x
  2. Step 2: Convert to fraction form
    2,133.23/3,200.24 = 652.55/x
  3. Step 3: Cross multiply
    2,133.23x = 3,200.24 × 652.55
  4. Step 4: Simplify right side
    2,133.23x = 2,088,297.35
  5. Step 5: Solve for x
    x = 2,088,297.35/2,133.23
  6. Step 6: Final answer
    x = 978.94

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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.