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Finding the Fourth Proportional to 1,692.72, 2,538.36 and 597.24

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Solution

The fourth proportional to 1,692.72, 2,538.36 and 597.24 is: 895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.72 : 2,538.36 = 597.24 : x
  2. Step 2: Convert to fraction form
    1,692.72/2,538.36 = 597.24/x
  3. Step 3: Cross multiply
    1,692.72x = 2,538.36 × 597.24
  4. Step 4: Simplify right side
    1,692.72x = 1,516,010.13
  5. Step 5: Solve for x
    x = 1,516,010.13/1,692.72
  6. Step 6: Final answer
    x = 895.61

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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.