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Finding the Fourth Proportional to 2,577.65, 3,869.21 and 1,604.44

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Solution

The fourth proportional to 2,577.65, 3,869.21 and 1,604.44 is: 2,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.65 : 3,869.21 = 1,604.44 : x
  2. Step 2: Convert to fraction form
    2,577.65/3,869.21 = 1,604.44/x
  3. Step 3: Cross multiply
    2,577.65x = 3,869.21 × 1,604.44
  4. Step 4: Simplify right side
    2,577.65x = 6,207,909.63
  5. Step 5: Solve for x
    x = 6,207,909.63/2,577.65
  6. Step 6: Final answer
    x = 2,408.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.