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Finding the Fourth Proportional to 3,234.35, 4,463.28 and 1,977.51

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Solution

The fourth proportional to 3,234.35, 4,463.28 and 1,977.51 is: 2,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.35 : 4,463.28 = 1,977.51 : x
  2. Step 2: Convert to fraction form
    3,234.35/4,463.28 = 1,977.51/x
  3. Step 3: Cross multiply
    3,234.35x = 4,463.28 × 1,977.51
  4. Step 4: Simplify right side
    3,234.35x = 8,826,180.83
  5. Step 5: Solve for x
    x = 8,826,180.83/3,234.35
  6. Step 6: Final answer
    x = 2,728.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.