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Finding the Fourth Proportional to 2,577.58, 3,872.54 and 1,654.94

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Solution

The fourth proportional to 2,577.58, 3,872.54 and 1,654.94 is: 2,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.58 : 3,872.54 = 1,654.94 : x
  2. Step 2: Convert to fraction form
    2,577.58/3,872.54 = 1,654.94/x
  3. Step 3: Cross multiply
    2,577.58x = 3,872.54 × 1,654.94
  4. Step 4: Simplify right side
    2,577.58x = 6,408,821.35
  5. Step 5: Solve for x
    x = 6,408,821.35/2,577.58
  6. Step 6: Final answer
    x = 2,486.37

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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.