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Finding the Fourth Proportional to 2,966.60, 4,094.76 and 2,082.62

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Solution

The fourth proportional to 2,966.60, 4,094.76 and 2,082.62 is: 2,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.60 : 4,094.76 = 2,082.62 : x
  2. Step 2: Convert to fraction form
    2,966.60/4,094.76 = 2,082.62/x
  3. Step 3: Cross multiply
    2,966.60x = 4,094.76 × 2,082.62
  4. Step 4: Simplify right side
    2,966.60x = 8,527,829.07
  5. Step 5: Solve for x
    x = 8,527,829.07/2,966.60
  6. Step 6: Final answer
    x = 2,874.61

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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.