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Finding the Fourth Proportional to 2,596.08, 3,894.09 and 648.28

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Solution

The fourth proportional to 2,596.08, 3,894.09 and 648.28 is: 972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.08 : 3,894.09 = 648.28 : x
  2. Step 2: Convert to fraction form
    2,596.08/3,894.09 = 648.28/x
  3. Step 3: Cross multiply
    2,596.08x = 3,894.09 × 648.28
  4. Step 4: Simplify right side
    2,596.08x = 2,524,463.10
  5. Step 5: Solve for x
    x = 2,524,463.10/2,596.08
  6. Step 6: Final answer
    x = 972.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.