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Finding the Fourth Proportional to 1,398.80, 2,094.02 and 1,365.21

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Solution

The fourth proportional to 1,398.80, 2,094.02 and 1,365.21 is: 2,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.80 : 2,094.02 = 1,365.21 : x
  2. Step 2: Convert to fraction form
    1,398.80/2,094.02 = 1,365.21/x
  3. Step 3: Cross multiply
    1,398.80x = 2,094.02 × 1,365.21
  4. Step 4: Simplify right side
    1,398.80x = 2,858,777.04
  5. Step 5: Solve for x
    x = 2,858,777.04/1,398.80
  6. Step 6: Final answer
    x = 2,043.74

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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.