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Finding the Fourth Proportional to 1,994.84, 2,987.81 and 1,445.77

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Solution

The fourth proportional to 1,994.84, 2,987.81 and 1,445.77 is: 2,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.84 : 2,987.81 = 1,445.77 : x
  2. Step 2: Convert to fraction form
    1,994.84/2,987.81 = 1,445.77/x
  3. Step 3: Cross multiply
    1,994.84x = 2,987.81 × 1,445.77
  4. Step 4: Simplify right side
    1,994.84x = 4,319,675.25
  5. Step 5: Solve for x
    x = 4,319,675.25/1,994.84
  6. Step 6: Final answer
    x = 2,165.42

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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.