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Finding the Fourth Proportional to 2,150.90, 3,226.80 and 918.34

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Solution

The fourth proportional to 2,150.90, 3,226.80 and 918.34 is: 1,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.90 : 3,226.80 = 918.34 : x
  2. Step 2: Convert to fraction form
    2,150.90/3,226.80 = 918.34/x
  3. Step 3: Cross multiply
    2,150.90x = 3,226.80 × 918.34
  4. Step 4: Simplify right side
    2,150.90x = 2,963,299.51
  5. Step 5: Solve for x
    x = 2,963,299.51/2,150.90
  6. Step 6: Final answer
    x = 1,377.70

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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.