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Finding the Fourth Proportional to 2,464.38, 3,693.30 and 902.94

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Solution

The fourth proportional to 2,464.38, 3,693.30 and 902.94 is: 1,353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.38 : 3,693.30 = 902.94 : x
  2. Step 2: Convert to fraction form
    2,464.38/3,693.30 = 902.94/x
  3. Step 3: Cross multiply
    2,464.38x = 3,693.30 × 902.94
  4. Step 4: Simplify right side
    2,464.38x = 3,334,828.30
  5. Step 5: Solve for x
    x = 3,334,828.30/2,464.38
  6. Step 6: Final answer
    x = 1,353.21

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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.