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Finding the Fourth Proportional to 1,593.06, 2,385.36 and 860.37

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Solution

The fourth proportional to 1,593.06, 2,385.36 and 860.37 is: 1,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.06 : 2,385.36 = 860.37 : x
  2. Step 2: Convert to fraction form
    1,593.06/2,385.36 = 860.37/x
  3. Step 3: Cross multiply
    1,593.06x = 2,385.36 × 860.37
  4. Step 4: Simplify right side
    1,593.06x = 2,052,292.18
  5. Step 5: Solve for x
    x = 2,052,292.18/1,593.06
  6. Step 6: Final answer
    x = 1,288.27

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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.