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Finding the Fourth Proportional to 2,265.81, 3,405.13 and 1,341.53

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Solution

The fourth proportional to 2,265.81, 3,405.13 and 1,341.53 is: 2,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.81 : 3,405.13 = 1,341.53 : x
  2. Step 2: Convert to fraction form
    2,265.81/3,405.13 = 1,341.53/x
  3. Step 3: Cross multiply
    2,265.81x = 3,405.13 × 1,341.53
  4. Step 4: Simplify right side
    2,265.81x = 4,568,084.05
  5. Step 5: Solve for x
    x = 4,568,084.05/2,265.81
  6. Step 6: Final answer
    x = 2,016.09

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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.