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Finding the Fourth Proportional to 2,361.42, 3,523.68 and 2,115.45

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Solution

The fourth proportional to 2,361.42, 3,523.68 and 2,115.45 is: 3,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.42 : 3,523.68 = 2,115.45 : x
  2. Step 2: Convert to fraction form
    2,361.42/3,523.68 = 2,115.45/x
  3. Step 3: Cross multiply
    2,361.42x = 3,523.68 × 2,115.45
  4. Step 4: Simplify right side
    2,361.42x = 7,454,168.86
  5. Step 5: Solve for x
    x = 7,454,168.86/2,361.42
  6. Step 6: Final answer
    x = 3,156.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.