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Finding the Fourth Proportional to 2,446.64, 3,668.86 and 1,459.91

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Solution

The fourth proportional to 2,446.64, 3,668.86 and 1,459.91 is: 2,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.64 : 3,668.86 = 1,459.91 : x
  2. Step 2: Convert to fraction form
    2,446.64/3,668.86 = 1,459.91/x
  3. Step 3: Cross multiply
    2,446.64x = 3,668.86 × 1,459.91
  4. Step 4: Simplify right side
    2,446.64x = 5,356,198.10
  5. Step 5: Solve for x
    x = 5,356,198.10/2,446.64
  6. Step 6: Final answer
    x = 2,189.21

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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.