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Finding the Fourth Proportional to 2,031.94, 3,027.92 and 1,965.79

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Solution

The fourth proportional to 2,031.94, 3,027.92 and 1,965.79 is: 2,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.94 : 3,027.92 = 1,965.79 : x
  2. Step 2: Convert to fraction form
    2,031.94/3,027.92 = 1,965.79/x
  3. Step 3: Cross multiply
    2,031.94x = 3,027.92 × 1,965.79
  4. Step 4: Simplify right side
    2,031.94x = 5,952,254.86
  5. Step 5: Solve for x
    x = 5,952,254.86/2,031.94
  6. Step 6: Final answer
    x = 2,929.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.