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Finding the Fourth Proportional to 2,153.49, 3,230.70 and 692.79

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Solution

The fourth proportional to 2,153.49, 3,230.70 and 692.79 is: 1,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.49 : 3,230.70 = 692.79 : x
  2. Step 2: Convert to fraction form
    2,153.49/3,230.70 = 692.79/x
  3. Step 3: Cross multiply
    2,153.49x = 3,230.70 × 692.79
  4. Step 4: Simplify right side
    2,153.49x = 2,238,196.65
  5. Step 5: Solve for x
    x = 2,238,196.65/2,153.49
  6. Step 6: Final answer
    x = 1,039.33

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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.