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Finding the Fourth Proportional to 2,196.41, 3,031.04 and 1,201.68

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Solution

The fourth proportional to 2,196.41, 3,031.04 and 1,201.68 is: 1,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.41 : 3,031.04 = 1,201.68 : x
  2. Step 2: Convert to fraction form
    2,196.41/3,031.04 = 1,201.68/x
  3. Step 3: Cross multiply
    2,196.41x = 3,031.04 × 1,201.68
  4. Step 4: Simplify right side
    2,196.41x = 3,642,334.14
  5. Step 5: Solve for x
    x = 3,642,334.14/2,196.41
  6. Step 6: Final answer
    x = 1,658.32

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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.