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Finding the Fourth Proportional to 1,454.86, 2,183.20 and 589.17

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Solution

The fourth proportional to 1,454.86, 2,183.20 and 589.17 is: 884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.86 : 2,183.20 = 589.17 : x
  2. Step 2: Convert to fraction form
    1,454.86/2,183.20 = 589.17/x
  3. Step 3: Cross multiply
    1,454.86x = 2,183.20 × 589.17
  4. Step 4: Simplify right side
    1,454.86x = 1,286,273.00
  5. Step 5: Solve for x
    x = 1,286,273.00/1,454.86
  6. Step 6: Final answer
    x = 884.12

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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.