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Finding the Fourth Proportional to 2,109.01, 3,164.07 and 648.19

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Solution

The fourth proportional to 2,109.01, 3,164.07 and 648.19 is: 972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.01 : 3,164.07 = 648.19 : x
  2. Step 2: Convert to fraction form
    2,109.01/3,164.07 = 648.19/x
  3. Step 3: Cross multiply
    2,109.01x = 3,164.07 × 648.19
  4. Step 4: Simplify right side
    2,109.01x = 2,050,918.53
  5. Step 5: Solve for x
    x = 2,050,918.53/2,109.01
  6. Step 6: Final answer
    x = 972.46

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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.