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Finding the Fourth Proportional to 3,111.70, 4,294.30 and 2,063.02

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Solution

The fourth proportional to 3,111.70, 4,294.30 and 2,063.02 is: 2,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.70 : 4,294.30 = 2,063.02 : x
  2. Step 2: Convert to fraction form
    3,111.70/4,294.30 = 2,063.02/x
  3. Step 3: Cross multiply
    3,111.70x = 4,294.30 × 2,063.02
  4. Step 4: Simplify right side
    3,111.70x = 8,859,226.79
  5. Step 5: Solve for x
    x = 8,859,226.79/3,111.70
  6. Step 6: Final answer
    x = 2,847.07

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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.