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Finding the Fourth Proportional to 2,154.99, 3,233.13 and 906.18

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Solution

The fourth proportional to 2,154.99, 3,233.13 and 906.18 is: 1,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.99 : 3,233.13 = 906.18 : x
  2. Step 2: Convert to fraction form
    2,154.99/3,233.13 = 906.18/x
  3. Step 3: Cross multiply
    2,154.99x = 3,233.13 × 906.18
  4. Step 4: Simplify right side
    2,154.99x = 2,929,797.74
  5. Step 5: Solve for x
    x = 2,929,797.74/2,154.99
  6. Step 6: Final answer
    x = 1,359.54

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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.