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Finding the Fourth Proportional to 3,202.32, 4,804.86 and 1,123.82

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Solution

The fourth proportional to 3,202.32, 4,804.86 and 1,123.82 is: 1,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.32 : 4,804.86 = 1,123.82 : x
  2. Step 2: Convert to fraction form
    3,202.32/4,804.86 = 1,123.82/x
  3. Step 3: Cross multiply
    3,202.32x = 4,804.86 × 1,123.82
  4. Step 4: Simplify right side
    3,202.32x = 5,399,797.77
  5. Step 5: Solve for x
    x = 5,399,797.77/3,202.32
  6. Step 6: Final answer
    x = 1,686.21

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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.