Home / 1,692.24-2,538.77-596.72

Finding the Fourth Proportional to 1,692.24, 2,538.77 and 596.72

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Solution

The fourth proportional to 1,692.24, 2,538.77 and 596.72 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.24 : 2,538.77 = 596.72 : x
  2. Step 2: Convert to fraction form
    1,692.24/2,538.77 = 596.72/x
  3. Step 3: Cross multiply
    1,692.24x = 2,538.77 × 596.72
  4. Step 4: Simplify right side
    1,692.24x = 1,514,919.16
  5. Step 5: Solve for x
    x = 1,514,919.16/1,692.24
  6. Step 6: Final answer
    x = 895.22

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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.