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Finding the Fourth Proportional to 3,451.47, 4,758.64 and 2,331.64

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Solution

The fourth proportional to 3,451.47, 4,758.64 and 2,331.64 is: 3,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.47 : 4,758.64 = 2,331.64 : x
  2. Step 2: Convert to fraction form
    3,451.47/4,758.64 = 2,331.64/x
  3. Step 3: Cross multiply
    3,451.47x = 4,758.64 × 2,331.64
  4. Step 4: Simplify right side
    3,451.47x = 11,095,435.37
  5. Step 5: Solve for x
    x = 11,095,435.37/3,451.47
  6. Step 6: Final answer
    x = 3,214.70

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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.