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Finding the Fourth Proportional to 2,966.96, 4,446.60 and 1,406

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Solution

The fourth proportional to 2,966.96, 4,446.60 and 1,406 is: 2,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,446.60 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,446.60 = 1,406/x
  3. Step 3: Cross multiply
    2,966.96x = 4,446.60 × 1,406
  4. Step 4: Simplify right side
    2,966.96x = 6,251,919.60
  5. Step 5: Solve for x
    x = 6,251,919.60/2,966.96
  6. Step 6: Final answer
    x = 2,107.18

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