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Finding the Fourth Proportional to 2,202.41, 3,303.07 and 741.53

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Solution

The fourth proportional to 2,202.41, 3,303.07 and 741.53 is: 1,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.41 : 3,303.07 = 741.53 : x
  2. Step 2: Convert to fraction form
    2,202.41/3,303.07 = 741.53/x
  3. Step 3: Cross multiply
    2,202.41x = 3,303.07 × 741.53
  4. Step 4: Simplify right side
    2,202.41x = 2,449,325.50
  5. Step 5: Solve for x
    x = 2,449,325.50/2,202.41
  6. Step 6: Final answer
    x = 1,112.11

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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.