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Finding the Fourth Proportional to 4,043.70, 6,066.09 and 1,446.66

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Solution

The fourth proportional to 4,043.70, 6,066.09 and 1,446.66 is: 2,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.70 : 6,066.09 = 1,446.66 : x
  2. Step 2: Convert to fraction form
    4,043.70/6,066.09 = 1,446.66/x
  3. Step 3: Cross multiply
    4,043.70x = 6,066.09 × 1,446.66
  4. Step 4: Simplify right side
    4,043.70x = 8,775,569.76
  5. Step 5: Solve for x
    x = 8,775,569.76/4,043.70
  6. Step 6: Final answer
    x = 2,170.18

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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.