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Finding the Fourth Proportional to 2,411.90, 3,617.81 and 768.42

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Solution

The fourth proportional to 2,411.90, 3,617.81 and 768.42 is: 1,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.90 : 3,617.81 = 768.42 : x
  2. Step 2: Convert to fraction form
    2,411.90/3,617.81 = 768.42/x
  3. Step 3: Cross multiply
    2,411.90x = 3,617.81 × 768.42
  4. Step 4: Simplify right side
    2,411.90x = 2,779,997.56
  5. Step 5: Solve for x
    x = 2,779,997.56/2,411.90
  6. Step 6: Final answer
    x = 1,152.62

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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.