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Finding the Fourth Proportional to 2,966.91, 4,094.22 and 1,640.61

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Solution

The fourth proportional to 2,966.91, 4,094.22 and 1,640.61 is: 2,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.91 : 4,094.22 = 1,640.61 : x
  2. Step 2: Convert to fraction form
    2,966.91/4,094.22 = 1,640.61/x
  3. Step 3: Cross multiply
    2,966.91x = 4,094.22 × 1,640.61
  4. Step 4: Simplify right side
    2,966.91x = 6,717,018.27
  5. Step 5: Solve for x
    x = 6,717,018.27/2,966.91
  6. Step 6: Final answer
    x = 2,263.98

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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.