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Finding the Fourth Proportional to 2,289.18, 3,433.82 and 990.68

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Solution

The fourth proportional to 2,289.18, 3,433.82 and 990.68 is: 1,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.18 : 3,433.82 = 990.68 : x
  2. Step 2: Convert to fraction form
    2,289.18/3,433.82 = 990.68/x
  3. Step 3: Cross multiply
    2,289.18x = 3,433.82 × 990.68
  4. Step 4: Simplify right side
    2,289.18x = 3,401,816.80
  5. Step 5: Solve for x
    x = 3,401,816.80/2,289.18
  6. Step 6: Final answer
    x = 1,486.04

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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.