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Finding the Fourth Proportional to 2,642.60, 3,969.98 and 1,864.39

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Solution

The fourth proportional to 2,642.60, 3,969.98 and 1,864.39 is: 2,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.60 : 3,969.98 = 1,864.39 : x
  2. Step 2: Convert to fraction form
    2,642.60/3,969.98 = 1,864.39/x
  3. Step 3: Cross multiply
    2,642.60x = 3,969.98 × 1,864.39
  4. Step 4: Simplify right side
    2,642.60x = 7,401,591.01
  5. Step 5: Solve for x
    x = 7,401,591.01/2,642.60
  6. Step 6: Final answer
    x = 2,800.87

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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.