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Finding the Fourth Proportional to 1,692.68, 2,521.90 and 1,610.06

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Solution

The fourth proportional to 1,692.68, 2,521.90 and 1,610.06 is: 2,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.68 : 2,521.90 = 1,610.06 : x
  2. Step 2: Convert to fraction form
    1,692.68/2,521.90 = 1,610.06/x
  3. Step 3: Cross multiply
    1,692.68x = 2,521.90 × 1,610.06
  4. Step 4: Simplify right side
    1,692.68x = 4,060,410.31
  5. Step 5: Solve for x
    x = 4,060,410.31/1,692.68
  6. Step 6: Final answer
    x = 2,398.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.