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Finding the Fourth Proportional to 2,767.48, 4,150.32 and 918.10

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Solution

The fourth proportional to 2,767.48, 4,150.32 and 918.10 is: 1,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.48 : 4,150.32 = 918.10 : x
  2. Step 2: Convert to fraction form
    2,767.48/4,150.32 = 918.10/x
  3. Step 3: Cross multiply
    2,767.48x = 4,150.32 × 918.10
  4. Step 4: Simplify right side
    2,767.48x = 3,810,415.70
  5. Step 5: Solve for x
    x = 3,810,415.70/2,767.48
  6. Step 6: Final answer
    x = 1,376.85

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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.