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Finding the Fourth Proportional to 2,280.11, 3,420.14 and 741.11

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Solution

The fourth proportional to 2,280.11, 3,420.14 and 741.11 is: 1,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.11 : 3,420.14 = 741.11 : x
  2. Step 2: Convert to fraction form
    2,280.11/3,420.14 = 741.11/x
  3. Step 3: Cross multiply
    2,280.11x = 3,420.14 × 741.11
  4. Step 4: Simplify right side
    2,280.11x = 2,534,679.15
  5. Step 5: Solve for x
    x = 2,534,679.15/2,280.11
  6. Step 6: Final answer
    x = 1,111.65

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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.