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Finding the Fourth Proportional to 2,196.95, 3,295.13 and 736.11

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Solution

The fourth proportional to 2,196.95, 3,295.13 and 736.11 is: 1,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.95 : 3,295.13 = 736.11 : x
  2. Step 2: Convert to fraction form
    2,196.95/3,295.13 = 736.11/x
  3. Step 3: Cross multiply
    2,196.95x = 3,295.13 × 736.11
  4. Step 4: Simplify right side
    2,196.95x = 2,425,574.46
  5. Step 5: Solve for x
    x = 2,425,574.46/2,196.95
  6. Step 6: Final answer
    x = 1,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.