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Finding the Fourth Proportional to 2,402.81, 3,604.70 and 1,016.14

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Solution

The fourth proportional to 2,402.81, 3,604.70 and 1,016.14 is: 1,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.81 : 3,604.70 = 1,016.14 : x
  2. Step 2: Convert to fraction form
    2,402.81/3,604.70 = 1,016.14/x
  3. Step 3: Cross multiply
    2,402.81x = 3,604.70 × 1,016.14
  4. Step 4: Simplify right side
    2,402.81x = 3,662,883.09
  5. Step 5: Solve for x
    x = 3,662,883.09/2,402.81
  6. Step 6: Final answer
    x = 1,524.42

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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.