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Finding the Fourth Proportional to 3,111.48, 4,662.18 and 2,071.80

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Solution

The fourth proportional to 3,111.48, 4,662.18 and 2,071.80 is: 3,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.48 : 4,662.18 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    3,111.48/4,662.18 = 2,071.80/x
  3. Step 3: Cross multiply
    3,111.48x = 4,662.18 × 2,071.80
  4. Step 4: Simplify right side
    3,111.48x = 9,659,104.52
  5. Step 5: Solve for x
    x = 9,659,104.52/3,111.48
  6. Step 6: Final answer
    x = 3,104.34

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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.