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Finding the Fourth Proportional to 2,154.07, 3,231.42 and 692.74

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Solution

The fourth proportional to 2,154.07, 3,231.42 and 692.74 is: 1,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.07 : 3,231.42 = 692.74 : x
  2. Step 2: Convert to fraction form
    2,154.07/3,231.42 = 692.74/x
  3. Step 3: Cross multiply
    2,154.07x = 3,231.42 × 692.74
  4. Step 4: Simplify right side
    2,154.07x = 2,238,533.89
  5. Step 5: Solve for x
    x = 2,238,533.89/2,154.07
  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.