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Finding the Fourth Proportional to 1,593.80, 2,385.30 and 1,399.40

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Solution

The fourth proportional to 1,593.80, 2,385.30 and 1,399.40 is: 2,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.80 : 2,385.30 = 1,399.40 : x
  2. Step 2: Convert to fraction form
    1,593.80/2,385.30 = 1,399.40/x
  3. Step 3: Cross multiply
    1,593.80x = 2,385.30 × 1,399.40
  4. Step 4: Simplify right side
    1,593.80x = 3,337,988.82
  5. Step 5: Solve for x
    x = 3,337,988.82/1,593.80
  6. Step 6: Final answer
    x = 2,094.36

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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.