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Finding the Fourth Proportional to 2,381.27, 3,564.12 and 2,153.93

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Solution

The fourth proportional to 2,381.27, 3,564.12 and 2,153.93 is: 3,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.27 : 3,564.12 = 2,153.93 : x
  2. Step 2: Convert to fraction form
    2,381.27/3,564.12 = 2,153.93/x
  3. Step 3: Cross multiply
    2,381.27x = 3,564.12 × 2,153.93
  4. Step 4: Simplify right side
    2,381.27x = 7,676,847.17
  5. Step 5: Solve for x
    x = 7,676,847.17/2,381.27
  6. Step 6: Final answer
    x = 3,223.85

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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.