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Finding the Fourth Proportional to 2,966.90, 4,094.32 and 1,640.66

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Solution

The fourth proportional to 2,966.90, 4,094.32 and 1,640.66 is: 2,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.90 : 4,094.32 = 1,640.66 : x
  2. Step 2: Convert to fraction form
    2,966.90/4,094.32 = 1,640.66/x
  3. Step 3: Cross multiply
    2,966.90x = 4,094.32 × 1,640.66
  4. Step 4: Simplify right side
    2,966.90x = 6,717,387.05
  5. Step 5: Solve for x
    x = 6,717,387.05/2,966.90
  6. Step 6: Final answer
    x = 2,264.11

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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.