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Finding the Fourth Proportional to 3,071.49, 4,237.14 and 2,008.80

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Solution

The fourth proportional to 3,071.49, 4,237.14 and 2,008.80 is: 2,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.49 : 4,237.14 = 2,008.80 : x
  2. Step 2: Convert to fraction form
    3,071.49/4,237.14 = 2,008.80/x
  3. Step 3: Cross multiply
    3,071.49x = 4,237.14 × 2,008.80
  4. Step 4: Simplify right side
    3,071.49x = 8,511,566.83
  5. Step 5: Solve for x
    x = 8,511,566.83/3,071.49
  6. Step 6: Final answer
    x = 2,771.15

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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.