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Finding the Fourth Proportional to 2,566.44, 3,849.81 and 692.61

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Solution

The fourth proportional to 2,566.44, 3,849.81 and 692.61 is: 1,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.44 : 3,849.81 = 692.61 : x
  2. Step 2: Convert to fraction form
    2,566.44/3,849.81 = 692.61/x
  3. Step 3: Cross multiply
    2,566.44x = 3,849.81 × 692.61
  4. Step 4: Simplify right side
    2,566.44x = 2,666,416.90
  5. Step 5: Solve for x
    x = 2,666,416.90/2,566.44
  6. Step 6: Final answer
    x = 1,038.96

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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.