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Finding the Fourth Proportional to 1,994.29, 2,992.38 and 1,070.62

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Solution

The fourth proportional to 1,994.29, 2,992.38 and 1,070.62 is: 1,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.29 : 2,992.38 = 1,070.62 : x
  2. Step 2: Convert to fraction form
    1,994.29/2,992.38 = 1,070.62/x
  3. Step 3: Cross multiply
    1,994.29x = 2,992.38 × 1,070.62
  4. Step 4: Simplify right side
    1,994.29x = 3,203,701.88
  5. Step 5: Solve for x
    x = 3,203,701.88/1,994.29
  6. Step 6: Final answer
    x = 1,606.44

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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.