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Finding the Fourth Proportional to 2,879.42, 3,973.29 and 1,760.63

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Solution

The fourth proportional to 2,879.42, 3,973.29 and 1,760.63 is: 2,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.42 : 3,973.29 = 1,760.63 : x
  2. Step 2: Convert to fraction form
    2,879.42/3,973.29 = 1,760.63/x
  3. Step 3: Cross multiply
    2,879.42x = 3,973.29 × 1,760.63
  4. Step 4: Simplify right side
    2,879.42x = 6,995,473.71
  5. Step 5: Solve for x
    x = 6,995,473.71/2,879.42
  6. Step 6: Final answer
    x = 2,429.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.