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Finding the Fourth Proportional to 2,289.84, 3,426.26 and 1,365.90

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Solution

The fourth proportional to 2,289.84, 3,426.26 and 1,365.90 is: 2,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.84 : 3,426.26 = 1,365.90 : x
  2. Step 2: Convert to fraction form
    2,289.84/3,426.26 = 1,365.90/x
  3. Step 3: Cross multiply
    2,289.84x = 3,426.26 × 1,365.90
  4. Step 4: Simplify right side
    2,289.84x = 4,679,921.70
  5. Step 5: Solve for x
    x = 4,679,921.70/2,289.84
  6. Step 6: Final answer
    x = 2,043.78

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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.