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Finding the Fourth Proportional to 2,109.36, 3,163 and 648.16

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Solution

The fourth proportional to 2,109.36, 3,163 and 648.16 is: 971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.36 : 3,163 = 648.16 : x
  2. Step 2: Convert to fraction form
    2,109.36/3,163 = 648.16/x
  3. Step 3: Cross multiply
    2,109.36x = 3,163 × 648.16
  4. Step 4: Simplify right side
    2,109.36x = 2,050,130.08
  5. Step 5: Solve for x
    x = 2,050,130.08/2,109.36
  6. Step 6: Final answer
    x = 971.92

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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.