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Finding the Fourth Proportional to 2,130.93, 3,192.14 and 1,692.92

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Solution

The fourth proportional to 2,130.93, 3,192.14 and 1,692.92 is: 2,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.93 : 3,192.14 = 1,692.92 : x
  2. Step 2: Convert to fraction form
    2,130.93/3,192.14 = 1,692.92/x
  3. Step 3: Cross multiply
    2,130.93x = 3,192.14 × 1,692.92
  4. Step 4: Simplify right side
    2,130.93x = 5,404,049.86
  5. Step 5: Solve for x
    x = 5,404,049.86/2,130.93
  6. Step 6: Final answer
    x = 2,536.01

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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.