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Finding the Fourth Proportional to 2,402.33, 3,605.00 and 1,015.71

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Solution

The fourth proportional to 2,402.33, 3,605.00 and 1,015.71 is: 1,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.33 : 3,605.00 = 1,015.71 : x
  2. Step 2: Convert to fraction form
    2,402.33/3,605.00 = 1,015.71/x
  3. Step 3: Cross multiply
    2,402.33x = 3,605.00 × 1,015.71
  4. Step 4: Simplify right side
    2,402.33x = 3,661,629.47
  5. Step 5: Solve for x
    x = 3,661,629.47/2,402.33
  6. Step 6: Final answer
    x = 1,524.20

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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.