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Finding the Fourth Proportional to 2,966.66, 4,085.66 and 2,902.07

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Solution

The fourth proportional to 2,966.66, 4,085.66 and 2,902.07 is: 3,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.66 : 4,085.66 = 2,902.07 : x
  2. Step 2: Convert to fraction form
    2,966.66/4,085.66 = 2,902.07/x
  3. Step 3: Cross multiply
    2,966.66x = 4,085.66 × 2,902.07
  4. Step 4: Simplify right side
    2,966.66x = 11,856,867.02
  5. Step 5: Solve for x
    x = 11,856,867.02/2,966.66
  6. Step 6: Final answer
    x = 3,996.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.