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Finding the Fourth Proportional to 2,109.16, 3,163.74 and 648.30

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Solution

The fourth proportional to 2,109.16, 3,163.74 and 648.30 is: 972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.16 : 3,163.74 = 648.30 : x
  2. Step 2: Convert to fraction form
    2,109.16/3,163.74 = 648.30/x
  3. Step 3: Cross multiply
    2,109.16x = 3,163.74 × 648.30
  4. Step 4: Simplify right side
    2,109.16x = 2,051,052.64
  5. Step 5: Solve for x
    x = 2,051,052.64/2,109.16
  6. Step 6: Final answer
    x = 972.45

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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.