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Finding the Fourth Proportional to 2,403.81, 3,602.89 and 1,086.03

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Solution

The fourth proportional to 2,403.81, 3,602.89 and 1,086.03 is: 1,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.81 : 3,602.89 = 1,086.03 : x
  2. Step 2: Convert to fraction form
    2,403.81/3,602.89 = 1,086.03/x
  3. Step 3: Cross multiply
    2,403.81x = 3,602.89 × 1,086.03
  4. Step 4: Simplify right side
    2,403.81x = 3,912,825.90
  5. Step 5: Solve for x
    x = 3,912,825.90/2,403.81
  6. Step 6: Final answer
    x = 1,627.76

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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.