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Finding the Fourth Proportional to 2,154.06, 3,230.37 and 692.89

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Solution

The fourth proportional to 2,154.06, 3,230.37 and 692.89 is: 1,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.06 : 3,230.37 = 692.89 : x
  2. Step 2: Convert to fraction form
    2,154.06/3,230.37 = 692.89/x
  3. Step 3: Cross multiply
    2,154.06x = 3,230.37 × 692.89
  4. Step 4: Simplify right side
    2,154.06x = 2,238,282.99
  5. Step 5: Solve for x
    x = 2,238,282.99/2,154.06
  6. Step 6: Final answer
    x = 1,039.10

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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.