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Finding the Fourth Proportional to 1,692.27, 2,538.87 and 581.93

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Solution

The fourth proportional to 1,692.27, 2,538.87 and 581.93 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.27 : 2,538.87 = 581.93 : x
  2. Step 2: Convert to fraction form
    1,692.27/2,538.87 = 581.93/x
  3. Step 3: Cross multiply
    1,692.27x = 2,538.87 × 581.93
  4. Step 4: Simplify right side
    1,692.27x = 1,477,431.92
  5. Step 5: Solve for x
    x = 1,477,431.92/1,692.27
  6. Step 6: Final answer
    x = 873.05

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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.