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Finding the Fourth Proportional to 1,692.04, 2,538.78 and 921.64

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Solution

The fourth proportional to 1,692.04, 2,538.78 and 921.64 is: 1,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.04 : 2,538.78 = 921.64 : x
  2. Step 2: Convert to fraction form
    1,692.04/2,538.78 = 921.64/x
  3. Step 3: Cross multiply
    1,692.04x = 2,538.78 × 921.64
  4. Step 4: Simplify right side
    1,692.04x = 2,339,841.20
  5. Step 5: Solve for x
    x = 2,339,841.20/1,692.04
  6. Step 6: Final answer
    x = 1,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.