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Finding the Fourth Proportional to 1,692.94, 2,538.86 and 538.42

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Solution

The fourth proportional to 1,692.94, 2,538.86 and 538.42 is: 807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.94 : 2,538.86 = 538.42 : x
  2. Step 2: Convert to fraction form
    1,692.94/2,538.86 = 538.42/x
  3. Step 3: Cross multiply
    1,692.94x = 2,538.86 × 538.42
  4. Step 4: Simplify right side
    1,692.94x = 1,366,973.00
  5. Step 5: Solve for x
    x = 1,366,973.00/1,692.94
  6. Step 6: Final answer
    x = 807.46

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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.