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Finding the Fourth Proportional to 1,860.21, 2,789.23 and 994.05

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Solution

The fourth proportional to 1,860.21, 2,789.23 and 994.05 is: 1,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.21 : 2,789.23 = 994.05 : x
  2. Step 2: Convert to fraction form
    1,860.21/2,789.23 = 994.05/x
  3. Step 3: Cross multiply
    1,860.21x = 2,789.23 × 994.05
  4. Step 4: Simplify right side
    1,860.21x = 2,772,634.08
  5. Step 5: Solve for x
    x = 2,772,634.08/1,860.21
  6. Step 6: Final answer
    x = 1,490.50

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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.