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Finding the Fourth Proportional to 2,478.36, 3,717.78 and 918.30

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Solution

The fourth proportional to 2,478.36, 3,717.78 and 918.30 is: 1,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.36 : 3,717.78 = 918.30 : x
  2. Step 2: Convert to fraction form
    2,478.36/3,717.78 = 918.30/x
  3. Step 3: Cross multiply
    2,478.36x = 3,717.78 × 918.30
  4. Step 4: Simplify right side
    2,478.36x = 3,414,037.37
  5. Step 5: Solve for x
    x = 3,414,037.37/2,478.36
  6. Step 6: Final answer
    x = 1,377.54

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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.