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Finding the Fourth Proportional to 2,289.89, 3,433.47 and 901.62

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Solution

The fourth proportional to 2,289.89, 3,433.47 and 901.62 is: 1,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.89 : 3,433.47 = 901.62 : x
  2. Step 2: Convert to fraction form
    2,289.89/3,433.47 = 901.62/x
  3. Step 3: Cross multiply
    2,289.89x = 3,433.47 × 901.62
  4. Step 4: Simplify right side
    2,289.89x = 3,095,685.22
  5. Step 5: Solve for x
    x = 3,095,685.22/2,289.89
  6. Step 6: Final answer
    x = 1,351.90

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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.