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Finding the Fourth Proportional to 1,994.95, 2,992.83 and 884.89

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Solution

The fourth proportional to 1,994.95, 2,992.83 and 884.89 is: 1,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.95 : 2,992.83 = 884.89 : x
  2. Step 2: Convert to fraction form
    1,994.95/2,992.83 = 884.89/x
  3. Step 3: Cross multiply
    1,994.95x = 2,992.83 × 884.89
  4. Step 4: Simplify right side
    1,994.95x = 2,648,325.34
  5. Step 5: Solve for x
    x = 2,648,325.34/1,994.95
  6. Step 6: Final answer
    x = 1,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.