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Finding the Fourth Proportional to 2,381.99, 3,573.56 and 994.56

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Solution

The fourth proportional to 2,381.99, 3,573.56 and 994.56 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.99 : 3,573.56 = 994.56 : x
  2. Step 2: Convert to fraction form
    2,381.99/3,573.56 = 994.56/x
  3. Step 3: Cross multiply
    2,381.99x = 3,573.56 × 994.56
  4. Step 4: Simplify right side
    2,381.99x = 3,554,119.83
  5. Step 5: Solve for x
    x = 3,554,119.83/2,381.99
  6. Step 6: Final answer
    x = 1,492.08

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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.