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Finding the Fourth Proportional to 3,181.80, 4,772.70 and 2,074.65

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Solution

The fourth proportional to 3,181.80, 4,772.70 and 2,074.65 is: 3,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.80 : 4,772.70 = 2,074.65 : x
  2. Step 2: Convert to fraction form
    3,181.80/4,772.70 = 2,074.65/x
  3. Step 3: Cross multiply
    3,181.80x = 4,772.70 × 2,074.65
  4. Step 4: Simplify right side
    3,181.80x = 9,901,682.06
  5. Step 5: Solve for x
    x = 9,901,682.06/3,181.80
  6. Step 6: Final answer
    x = 3,111.98

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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.