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Finding the Fourth Proportional to 1,692.64, 2,538.88 and 826.08

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Solution

The fourth proportional to 1,692.64, 2,538.88 and 826.08 is: 1,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.64 : 2,538.88 = 826.08 : x
  2. Step 2: Convert to fraction form
    1,692.64/2,538.88 = 826.08/x
  3. Step 3: Cross multiply
    1,692.64x = 2,538.88 × 826.08
  4. Step 4: Simplify right side
    1,692.64x = 2,097,317.99
  5. Step 5: Solve for x
    x = 2,097,317.99/1,692.64
  6. Step 6: Final answer
    x = 1,239.08

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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.