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Finding the Fourth Proportional to 2,464.20, 3,694.08 and 903.10

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Solution

The fourth proportional to 2,464.20, 3,694.08 and 903.10 is: 1,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.20 : 3,694.08 = 903.10 : x
  2. Step 2: Convert to fraction form
    2,464.20/3,694.08 = 903.10/x
  3. Step 3: Cross multiply
    2,464.20x = 3,694.08 × 903.10
  4. Step 4: Simplify right side
    2,464.20x = 3,336,123.65
  5. Step 5: Solve for x
    x = 3,336,123.65/2,464.20
  6. Step 6: Final answer
    x = 1,353.84

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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.