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Finding the Fourth Proportional to 1,998.14, 2,994.65 and 1,750.78

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Solution

The fourth proportional to 1,998.14, 2,994.65 and 1,750.78 is: 2,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.14 : 2,994.65 = 1,750.78 : x
  2. Step 2: Convert to fraction form
    1,998.14/2,994.65 = 1,750.78/x
  3. Step 3: Cross multiply
    1,998.14x = 2,994.65 × 1,750.78
  4. Step 4: Simplify right side
    1,998.14x = 5,242,949.60
  5. Step 5: Solve for x
    x = 5,242,949.60/1,998.14
  6. Step 6: Final answer
    x = 2,623.92

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1.5x scale

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.