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Finding the Fourth Proportional to 2,195.06, 3,293.10 and 734.23

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Solution

The fourth proportional to 2,195.06, 3,293.10 and 734.23 is: 1,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.06 : 3,293.10 = 734.23 : x
  2. Step 2: Convert to fraction form
    2,195.06/3,293.10 = 734.23/x
  3. Step 3: Cross multiply
    2,195.06x = 3,293.10 × 734.23
  4. Step 4: Simplify right side
    2,195.06x = 2,417,892.81
  5. Step 5: Solve for x
    x = 2,417,892.81/2,195.06
  6. Step 6: Final answer
    x = 1,101.52

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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.