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Finding the Fourth Proportional to 2,596.02, 3,894 and 648.24

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Solution

The fourth proportional to 2,596.02, 3,894 and 648.24 is: 972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.02 : 3,894 = 648.24 : x
  2. Step 2: Convert to fraction form
    2,596.02/3,894 = 648.24/x
  3. Step 3: Cross multiply
    2,596.02x = 3,894 × 648.24
  4. Step 4: Simplify right side
    2,596.02x = 2,524,246.56
  5. Step 5: Solve for x
    x = 2,524,246.56/2,596.02
  6. Step 6: Final answer
    x = 972.35

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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.