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Finding the Fourth Proportional to 3,106.43, 4,654.11 and 1,642.31

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Solution

The fourth proportional to 3,106.43, 4,654.11 and 1,642.31 is: 2,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.43 : 4,654.11 = 1,642.31 : x
  2. Step 2: Convert to fraction form
    3,106.43/4,654.11 = 1,642.31/x
  3. Step 3: Cross multiply
    3,106.43x = 4,654.11 × 1,642.31
  4. Step 4: Simplify right side
    3,106.43x = 7,643,491.39
  5. Step 5: Solve for x
    x = 7,643,491.39/3,106.43
  6. Step 6: Final answer
    x = 2,460.54

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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.