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Finding the Fourth Proportional to 3,101.43, 4,648.03 and 1,692.23

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Solution

The fourth proportional to 3,101.43, 4,648.03 and 1,692.23 is: 2,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.43 : 4,648.03 = 1,692.23 : x
  2. Step 2: Convert to fraction form
    3,101.43/4,648.03 = 1,692.23/x
  3. Step 3: Cross multiply
    3,101.43x = 4,648.03 × 1,692.23
  4. Step 4: Simplify right side
    3,101.43x = 7,865,535.81
  5. Step 5: Solve for x
    x = 7,865,535.81/3,101.43
  6. Step 6: Final answer
    x = 2,536.10

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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.