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Finding the Fourth Proportional to 2,229.32, 3,347.03 and 1,436.54

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Solution

The fourth proportional to 2,229.32, 3,347.03 and 1,436.54 is: 2,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.32 : 3,347.03 = 1,436.54 : x
  2. Step 2: Convert to fraction form
    2,229.32/3,347.03 = 1,436.54/x
  3. Step 3: Cross multiply
    2,229.32x = 3,347.03 × 1,436.54
  4. Step 4: Simplify right side
    2,229.32x = 4,808,129.33
  5. Step 5: Solve for x
    x = 4,808,129.33/2,229.32
  6. Step 6: Final answer
    x = 2,156.77

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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.