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Finding the Fourth Proportional to 2,196.99, 3,295.58 and 736.16

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Solution

The fourth proportional to 2,196.99, 3,295.58 and 736.16 is: 1,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.99 : 3,295.58 = 736.16 : x
  2. Step 2: Convert to fraction form
    2,196.99/3,295.58 = 736.16/x
  3. Step 3: Cross multiply
    2,196.99x = 3,295.58 × 736.16
  4. Step 4: Simplify right side
    2,196.99x = 2,426,054.01
  5. Step 5: Solve for x
    x = 2,426,054.01/2,196.99
  6. Step 6: Final answer
    x = 1,104.26

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