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Finding the Fourth Proportional to 1,692.14, 2,330.06 and 1,593.50

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Solution

The fourth proportional to 1,692.14, 2,330.06 and 1,593.50 is: 2,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.14 : 2,330.06 = 1,593.50 : x
  2. Step 2: Convert to fraction form
    1,692.14/2,330.06 = 1,593.50/x
  3. Step 3: Cross multiply
    1,692.14x = 2,330.06 × 1,593.50
  4. Step 4: Simplify right side
    1,692.14x = 3,712,930.99
  5. Step 5: Solve for x
    x = 3,712,930.99/1,692.14
  6. Step 6: Final answer
    x = 2,194.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.