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Finding the Fourth Proportional to 1,994.93, 2,992.28 and 608.24

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Solution

The fourth proportional to 1,994.93, 2,992.28 and 608.24 is: 912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.93 : 2,992.28 = 608.24 : x
  2. Step 2: Convert to fraction form
    1,994.93/2,992.28 = 608.24/x
  3. Step 3: Cross multiply
    1,994.93x = 2,992.28 × 608.24
  4. Step 4: Simplify right side
    1,994.93x = 1,820,006.38
  5. Step 5: Solve for x
    x = 1,820,006.38/1,994.93
  6. Step 6: Final answer
    x = 912.32

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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.