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Finding the Fourth Proportional to 4,446.70, 6,670.05 and 1,159.79

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Solution

The fourth proportional to 4,446.70, 6,670.05 and 1,159.79 is: 1,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.70 : 6,670.05 = 1,159.79 : x
  2. Step 2: Convert to fraction form
    4,446.70/6,670.05 = 1,159.79/x
  3. Step 3: Cross multiply
    4,446.70x = 6,670.05 × 1,159.79
  4. Step 4: Simplify right side
    4,446.70x = 7,735,857.29
  5. Step 5: Solve for x
    x = 7,735,857.29/4,446.70
  6. Step 6: Final answer
    x = 1,739.69

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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.