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Finding the Fourth Proportional to 2,159.37, 2,982.11 and 1,692.81

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Solution

The fourth proportional to 2,159.37, 2,982.11 and 1,692.81 is: 2,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.37 : 2,982.11 = 1,692.81 : x
  2. Step 2: Convert to fraction form
    2,159.37/2,982.11 = 1,692.81/x
  3. Step 3: Cross multiply
    2,159.37x = 2,982.11 × 1,692.81
  4. Step 4: Simplify right side
    2,159.37x = 5,048,145.63
  5. Step 5: Solve for x
    x = 5,048,145.63/2,159.37
  6. Step 6: Final answer
    x = 2,337.79

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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.