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Finding the Fourth Proportional to 2,196.31, 3,030.95 and 1,201.65

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Solution

The fourth proportional to 2,196.31, 3,030.95 and 1,201.65 is: 1,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.31 : 3,030.95 = 1,201.65 : x
  2. Step 2: Convert to fraction form
    2,196.31/3,030.95 = 1,201.65/x
  3. Step 3: Cross multiply
    2,196.31x = 3,030.95 × 1,201.65
  4. Step 4: Simplify right side
    2,196.31x = 3,642,135.06
  5. Step 5: Solve for x
    x = 3,642,135.06/2,196.31
  6. Step 6: Final answer
    x = 1,658.30

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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.