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Finding the Fourth Proportional to 3,031.71, 4,180.95 and 1,968.36

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Solution

The fourth proportional to 3,031.71, 4,180.95 and 1,968.36 is: 2,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.71 : 4,180.95 = 1,968.36 : x
  2. Step 2: Convert to fraction form
    3,031.71/4,180.95 = 1,968.36/x
  3. Step 3: Cross multiply
    3,031.71x = 4,180.95 × 1,968.36
  4. Step 4: Simplify right side
    3,031.71x = 8,229,614.74
  5. Step 5: Solve for x
    x = 8,229,614.74/3,031.71
  6. Step 6: Final answer
    x = 2,714.51

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