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Finding the Fourth Proportional to 2,396.90, 3,590.74 and 1,728.35

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Solution

The fourth proportional to 2,396.90, 3,590.74 and 1,728.35 is: 2,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.90 : 3,590.74 = 1,728.35 : x
  2. Step 2: Convert to fraction form
    2,396.90/3,590.74 = 1,728.35/x
  3. Step 3: Cross multiply
    2,396.90x = 3,590.74 × 1,728.35
  4. Step 4: Simplify right side
    2,396.90x = 6,206,028.88
  5. Step 5: Solve for x
    x = 6,206,028.88/2,396.90
  6. Step 6: Final answer
    x = 2,589.20

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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.