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Finding the Fourth Proportional to 2,381.44, 3,565.08 and 2,131.16

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Solution

The fourth proportional to 2,381.44, 3,565.08 and 2,131.16 is: 3,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.44 : 3,565.08 = 2,131.16 : x
  2. Step 2: Convert to fraction form
    2,381.44/3,565.08 = 2,131.16/x
  3. Step 3: Cross multiply
    2,381.44x = 3,565.08 × 2,131.16
  4. Step 4: Simplify right side
    2,381.44x = 7,597,755.89
  5. Step 5: Solve for x
    x = 7,597,755.89/2,381.44
  6. Step 6: Final answer
    x = 3,190.40

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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.