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Finding the Fourth Proportional to 3,181.98, 4,772.95 and 1,538.68

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Solution

The fourth proportional to 3,181.98, 4,772.95 and 1,538.68 is: 2,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.98 : 4,772.95 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    3,181.98/4,772.95 = 1,538.68/x
  3. Step 3: Cross multiply
    3,181.98x = 4,772.95 × 1,538.68
  4. Step 4: Simplify right side
    3,181.98x = 7,344,042.71
  5. Step 5: Solve for x
    x = 7,344,042.71/3,181.98
  6. Step 6: Final answer
    x = 2,308.01

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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.