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Finding the Fourth Proportional to 2,381.85, 3,573.18 and 822.01

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Solution

The fourth proportional to 2,381.85, 3,573.18 and 822.01 is: 1,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.85 : 3,573.18 = 822.01 : x
  2. Step 2: Convert to fraction form
    2,381.85/3,573.18 = 822.01/x
  3. Step 3: Cross multiply
    2,381.85x = 3,573.18 × 822.01
  4. Step 4: Simplify right side
    2,381.85x = 2,937,189.69
  5. Step 5: Solve for x
    x = 2,937,189.69/2,381.85
  6. Step 6: Final answer
    x = 1,233.15

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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.