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Finding the Fourth Proportional to 2,152.74, 3,232.35 and 1,229.34

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Solution

The fourth proportional to 2,152.74, 3,232.35 and 1,229.34 is: 1,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.74 : 3,232.35 = 1,229.34 : x
  2. Step 2: Convert to fraction form
    2,152.74/3,232.35 = 1,229.34/x
  3. Step 3: Cross multiply
    2,152.74x = 3,232.35 × 1,229.34
  4. Step 4: Simplify right side
    2,152.74x = 3,973,657.15
  5. Step 5: Solve for x
    x = 3,973,657.15/2,152.74
  6. Step 6: Final answer
    x = 1,845.86

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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.