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Finding the Fourth Proportional to 2,111.29, 3,167.10 and 650.43

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Solution

The fourth proportional to 2,111.29, 3,167.10 and 650.43 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.29 : 3,167.10 = 650.43 : x
  2. Step 2: Convert to fraction form
    2,111.29/3,167.10 = 650.43/x
  3. Step 3: Cross multiply
    2,111.29x = 3,167.10 × 650.43
  4. Step 4: Simplify right side
    2,111.29x = 2,059,976.85
  5. Step 5: Solve for x
    x = 2,059,976.85/2,111.29
  6. Step 6: Final answer
    x = 975.70

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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.