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Finding the Fourth Proportional to 2,462.90, 3,693.99 and 902.48

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Solution

The fourth proportional to 2,462.90, 3,693.99 and 902.48 is: 1,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.90 : 3,693.99 = 902.48 : x
  2. Step 2: Convert to fraction form
    2,462.90/3,693.99 = 902.48/x
  3. Step 3: Cross multiply
    2,462.90x = 3,693.99 × 902.48
  4. Step 4: Simplify right side
    2,462.90x = 3,333,752.10
  5. Step 5: Solve for x
    x = 3,333,752.10/2,462.90
  6. Step 6: Final answer
    x = 1,353.59

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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.