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Finding the Fourth Proportional to 2,109.57, 3,164.54 and 648.87

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Solution

The fourth proportional to 2,109.57, 3,164.54 and 648.87 is: 973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.57 : 3,164.54 = 648.87 : x
  2. Step 2: Convert to fraction form
    2,109.57/3,164.54 = 648.87/x
  3. Step 3: Cross multiply
    2,109.57x = 3,164.54 × 648.87
  4. Step 4: Simplify right side
    2,109.57x = 2,053,371.83
  5. Step 5: Solve for x
    x = 2,053,371.83/2,109.57
  6. Step 6: Final answer
    x = 973.36

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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.