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Finding the Fourth Proportional to 2,600.02, 3,900.02 and 652.21

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Solution

The fourth proportional to 2,600.02, 3,900.02 and 652.21 is: 978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.02 : 3,900.02 = 652.21 : x
  2. Step 2: Convert to fraction form
    2,600.02/3,900.02 = 652.21/x
  3. Step 3: Cross multiply
    2,600.02x = 3,900.02 × 652.21
  4. Step 4: Simplify right side
    2,600.02x = 2,543,632.04
  5. Step 5: Solve for x
    x = 2,543,632.04/2,600.02
  6. Step 6: Final answer
    x = 978.31

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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.