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Finding the Fourth Proportional to 2,301.81, 3,453.24 and 1,003.65

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Solution

The fourth proportional to 2,301.81, 3,453.24 and 1,003.65 is: 1,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.81 : 3,453.24 = 1,003.65 : x
  2. Step 2: Convert to fraction form
    2,301.81/3,453.24 = 1,003.65/x
  3. Step 3: Cross multiply
    2,301.81x = 3,453.24 × 1,003.65
  4. Step 4: Simplify right side
    2,301.81x = 3,465,844.33
  5. Step 5: Solve for x
    x = 3,465,844.33/2,301.81
  6. Step 6: Final answer
    x = 1,505.70

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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.