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Finding the Fourth Proportional to 2,873.99, 4,314.64 and 2,443.88

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Solution

The fourth proportional to 2,873.99, 4,314.64 and 2,443.88 is: 3,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.99 : 4,314.64 = 2,443.88 : x
  2. Step 2: Convert to fraction form
    2,873.99/4,314.64 = 2,443.88/x
  3. Step 3: Cross multiply
    2,873.99x = 4,314.64 × 2,443.88
  4. Step 4: Simplify right side
    2,873.99x = 10,544,467.08
  5. Step 5: Solve for x
    x = 10,544,467.08/2,873.99
  6. Step 6: Final answer
    x = 3,668.93

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Why These Related Problems?

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