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Finding the Fourth Proportional to 2,381.15, 3,572.34 and 919.91

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Solution

The fourth proportional to 2,381.15, 3,572.34 and 919.91 is: 1,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.15 : 3,572.34 = 919.91 : x
  2. Step 2: Convert to fraction form
    2,381.15/3,572.34 = 919.91/x
  3. Step 3: Cross multiply
    2,381.15x = 3,572.34 × 919.91
  4. Step 4: Simplify right side
    2,381.15x = 3,286,231.29
  5. Step 5: Solve for x
    x = 3,286,231.29/2,381.15
  6. Step 6: Final answer
    x = 1,380.10

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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.