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Finding the Fourth Proportional to 1,994.77, 2,989.41 and 1,448.02

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Solution

The fourth proportional to 1,994.77, 2,989.41 and 1,448.02 is: 2,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.77 : 2,989.41 = 1,448.02 : x
  2. Step 2: Convert to fraction form
    1,994.77/2,989.41 = 1,448.02/x
  3. Step 3: Cross multiply
    1,994.77x = 2,989.41 × 1,448.02
  4. Step 4: Simplify right side
    1,994.77x = 4,328,725.47
  5. Step 5: Solve for x
    x = 4,328,725.47/1,994.77
  6. Step 6: Final answer
    x = 2,170.04

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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.