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Finding the Fourth Proportional to 2,280.13, 3,420.73 and 741.13

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Solution

The fourth proportional to 2,280.13, 3,420.73 and 741.13 is: 1,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.13 : 3,420.73 = 741.13 : x
  2. Step 2: Convert to fraction form
    2,280.13/3,420.73 = 741.13/x
  3. Step 3: Cross multiply
    2,280.13x = 3,420.73 × 741.13
  4. Step 4: Simplify right side
    2,280.13x = 2,535,205.62
  5. Step 5: Solve for x
    x = 2,535,205.62/2,280.13
  6. Step 6: Final answer
    x = 1,111.87

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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.