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Finding the Fourth Proportional to 1,692.72, 2,540.36 and 719.51

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Solution

The fourth proportional to 1,692.72, 2,540.36 and 719.51 is: 1,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.72 : 2,540.36 = 719.51 : x
  2. Step 2: Convert to fraction form
    1,692.72/2,540.36 = 719.51/x
  3. Step 3: Cross multiply
    1,692.72x = 2,540.36 × 719.51
  4. Step 4: Simplify right side
    1,692.72x = 1,827,803.52
  5. Step 5: Solve for x
    x = 1,827,803.52/1,692.72
  6. Step 6: Final answer
    x = 1,079.80

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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.