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Finding the Fourth Proportional to 3,103.32, 4,651.62 and 1,458.84

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Solution

The fourth proportional to 3,103.32, 4,651.62 and 1,458.84 is: 2,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.32 : 4,651.62 = 1,458.84 : x
  2. Step 2: Convert to fraction form
    3,103.32/4,651.62 = 1,458.84/x
  3. Step 3: Cross multiply
    3,103.32x = 4,651.62 × 1,458.84
  4. Step 4: Simplify right side
    3,103.32x = 6,785,969.32
  5. Step 5: Solve for x
    x = 6,785,969.32/3,103.32
  6. Step 6: Final answer
    x = 2,186.68

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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.