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Finding the Fourth Proportional to 2,202.08, 3,303.09 and 741.22

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Solution

The fourth proportional to 2,202.08, 3,303.09 and 741.22 is: 1,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.08 : 3,303.09 = 741.22 : x
  2. Step 2: Convert to fraction form
    2,202.08/3,303.09 = 741.22/x
  3. Step 3: Cross multiply
    2,202.08x = 3,303.09 × 741.22
  4. Step 4: Simplify right side
    2,202.08x = 2,448,308.11
  5. Step 5: Solve for x
    x = 2,448,308.11/2,202.08
  6. Step 6: Final answer
    x = 1,111.82

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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.