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Finding the Fourth Proportional to 2,290.86, 3,434.85 and 1,558.20

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Solution

The fourth proportional to 2,290.86, 3,434.85 and 1,558.20 is: 2,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.86 : 3,434.85 = 1,558.20 : x
  2. Step 2: Convert to fraction form
    2,290.86/3,434.85 = 1,558.20/x
  3. Step 3: Cross multiply
    2,290.86x = 3,434.85 × 1,558.20
  4. Step 4: Simplify right side
    2,290.86x = 5,352,183.27
  5. Step 5: Solve for x
    x = 5,352,183.27/2,290.86
  6. Step 6: Final answer
    x = 2,336.32

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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.