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Finding the Fourth Proportional to 2,269.35, 3,402.90 and 1,332.54

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Solution

The fourth proportional to 2,269.35, 3,402.90 and 1,332.54 is: 1,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.35 : 3,402.90 = 1,332.54 : x
  2. Step 2: Convert to fraction form
    2,269.35/3,402.90 = 1,332.54/x
  3. Step 3: Cross multiply
    2,269.35x = 3,402.90 × 1,332.54
  4. Step 4: Simplify right side
    2,269.35x = 4,534,500.37
  5. Step 5: Solve for x
    x = 4,534,500.37/2,269.35
  6. Step 6: Final answer
    x = 1,998.15

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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.