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Finding the Fourth Proportional to 2,134.25, 3,199.24 and 902.35

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Solution

The fourth proportional to 2,134.25, 3,199.24 and 902.35 is: 1,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.25 : 3,199.24 = 902.35 : x
  2. Step 2: Convert to fraction form
    2,134.25/3,199.24 = 902.35/x
  3. Step 3: Cross multiply
    2,134.25x = 3,199.24 × 902.35
  4. Step 4: Simplify right side
    2,134.25x = 2,886,834.21
  5. Step 5: Solve for x
    x = 2,886,834.21/2,134.25
  6. Step 6: Final answer
    x = 1,352.62

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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.