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Finding the Fourth Proportional to 3,141.58, 4,333.99 and 1,946.25

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Solution

The fourth proportional to 3,141.58, 4,333.99 and 1,946.25 is: 2,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.58 : 4,333.99 = 1,946.25 : x
  2. Step 2: Convert to fraction form
    3,141.58/4,333.99 = 1,946.25/x
  3. Step 3: Cross multiply
    3,141.58x = 4,333.99 × 1,946.25
  4. Step 4: Simplify right side
    3,141.58x = 8,435,028.04
  5. Step 5: Solve for x
    x = 8,435,028.04/3,141.58
  6. Step 6: Final answer
    x = 2,684.96

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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.