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Finding the Fourth Proportional to 2,230.46, 3,345.21 and 824.54

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Solution

The fourth proportional to 2,230.46, 3,345.21 and 824.54 is: 1,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.46 : 3,345.21 = 824.54 : x
  2. Step 2: Convert to fraction form
    2,230.46/3,345.21 = 824.54/x
  3. Step 3: Cross multiply
    2,230.46x = 3,345.21 × 824.54
  4. Step 4: Simplify right side
    2,230.46x = 2,758,259.45
  5. Step 5: Solve for x
    x = 2,758,259.45/2,230.46
  6. Step 6: Final answer
    x = 1,236.63

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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.