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Finding the Fourth Proportional to 1,692.34, 2,533.65 and 1,250.62

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Solution

The fourth proportional to 1,692.34, 2,533.65 and 1,250.62 is: 1,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.34 : 2,533.65 = 1,250.62 : x
  2. Step 2: Convert to fraction form
    1,692.34/2,533.65 = 1,250.62/x
  3. Step 3: Cross multiply
    1,692.34x = 2,533.65 × 1,250.62
  4. Step 4: Simplify right side
    1,692.34x = 3,168,633.36
  5. Step 5: Solve for x
    x = 3,168,633.36/1,692.34
  6. Step 6: Final answer
    x = 1,872.34

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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.