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Finding the Fourth Proportional to 2,288.60, 3,433.59 and 902.14

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Solution

The fourth proportional to 2,288.60, 3,433.59 and 902.14 is: 1,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.60 : 3,433.59 = 902.14 : x
  2. Step 2: Convert to fraction form
    2,288.60/3,433.59 = 902.14/x
  3. Step 3: Cross multiply
    2,288.60x = 3,433.59 × 902.14
  4. Step 4: Simplify right side
    2,288.60x = 3,097,570.30
  5. Step 5: Solve for x
    x = 3,097,570.30/2,288.60
  6. Step 6: Final answer
    x = 1,353.48

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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.