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Finding the Fourth Proportional to 2,967.94, 4,446.79 and 1,966.66

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Solution

The fourth proportional to 2,967.94, 4,446.79 and 1,966.66 is: 2,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.94 : 4,446.79 = 1,966.66 : x
  2. Step 2: Convert to fraction form
    2,967.94/4,446.79 = 1,966.66/x
  3. Step 3: Cross multiply
    2,967.94x = 4,446.79 × 1,966.66
  4. Step 4: Simplify right side
    2,967.94x = 8,745,324.02
  5. Step 5: Solve for x
    x = 8,745,324.02/2,967.94
  6. Step 6: Final answer
    x = 2,946.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.