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Finding the Fourth Proportional to 2,130.90, 3,192.10 and 1,692.89

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Solution

The fourth proportional to 2,130.90, 3,192.10 and 1,692.89 is: 2,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.90 : 3,192.10 = 1,692.89 : x
  2. Step 2: Convert to fraction form
    2,130.90/3,192.10 = 1,692.89/x
  3. Step 3: Cross multiply
    2,130.90x = 3,192.10 × 1,692.89
  4. Step 4: Simplify right side
    2,130.90x = 5,403,865.70
  5. Step 5: Solve for x
    x = 5,403,865.70/2,130.90
  6. Step 6: Final answer
    x = 2,535.95

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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.