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Finding the Fourth Proportional to 2,289.79, 3,436.13 and 902.89

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Solution

The fourth proportional to 2,289.79, 3,436.13 and 902.89 is: 1,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.79 : 3,436.13 = 902.89 : x
  2. Step 2: Convert to fraction form
    2,289.79/3,436.13 = 902.89/x
  3. Step 3: Cross multiply
    2,289.79x = 3,436.13 × 902.89
  4. Step 4: Simplify right side
    2,289.79x = 3,102,447.42
  5. Step 5: Solve for x
    x = 3,102,447.42/2,289.79
  6. Step 6: Final answer
    x = 1,354.90

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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.