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Finding the Fourth Proportional to 1,692.69, 2,537.67 and 718.11

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Solution

The fourth proportional to 1,692.69, 2,537.67 and 718.11 is: 1,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.69 : 2,537.67 = 718.11 : x
  2. Step 2: Convert to fraction form
    1,692.69/2,537.67 = 718.11/x
  3. Step 3: Cross multiply
    1,692.69x = 2,537.67 × 718.11
  4. Step 4: Simplify right side
    1,692.69x = 1,822,326.20
  5. Step 5: Solve for x
    x = 1,822,326.20/1,692.69
  6. Step 6: Final answer
    x = 1,076.59

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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.