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Finding the Fourth Proportional to 1,994.84, 2,992.20 and 534

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Solution

The fourth proportional to 1,994.84, 2,992.20 and 534 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.84 : 2,992.20 = 534 : x
  2. Step 2: Convert to fraction form
    1,994.84/2,992.20 = 534/x
  3. Step 3: Cross multiply
    1,994.84x = 2,992.20 × 534
  4. Step 4: Simplify right side
    1,994.84x = 1,597,834.80
  5. Step 5: Solve for x
    x = 1,597,834.80/1,994.84
  6. Step 6: Final answer
    x = 800.99

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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.