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Finding the Fourth Proportional to 2,154.15, 3,230.54 and 692.96

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Solution

The fourth proportional to 2,154.15, 3,230.54 and 692.96 is: 1,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.15 : 3,230.54 = 692.96 : x
  2. Step 2: Convert to fraction form
    2,154.15/3,230.54 = 692.96/x
  3. Step 3: Cross multiply
    2,154.15x = 3,230.54 × 692.96
  4. Step 4: Simplify right side
    2,154.15x = 2,238,615.38
  5. Step 5: Solve for x
    x = 2,238,615.38/2,154.15
  6. Step 6: Final answer
    x = 1,039.21

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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.