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Finding the Fourth Proportional to 2,767.01, 4,150.76 and 918.14

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Solution

The fourth proportional to 2,767.01, 4,150.76 and 918.14 is: 1,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.01 : 4,150.76 = 918.14 : x
  2. Step 2: Convert to fraction form
    2,767.01/4,150.76 = 918.14/x
  3. Step 3: Cross multiply
    2,767.01x = 4,150.76 × 918.14
  4. Step 4: Simplify right side
    2,767.01x = 3,810,986.81
  5. Step 5: Solve for x
    x = 3,810,986.81/2,767.01
  6. Step 6: Final answer
    x = 1,377.29

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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.