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Finding the Fourth Proportional to 2,767.58, 4,150.95 and 918.72

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Solution

The fourth proportional to 2,767.58, 4,150.95 and 918.72 is: 1,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.58 : 4,150.95 = 918.72 : x
  2. Step 2: Convert to fraction form
    2,767.58/4,150.95 = 918.72/x
  3. Step 3: Cross multiply
    2,767.58x = 4,150.95 × 918.72
  4. Step 4: Simplify right side
    2,767.58x = 3,813,557.34
  5. Step 5: Solve for x
    x = 3,813,557.34/2,767.58
  6. Step 6: Final answer
    x = 1,377.94

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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.