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Finding the Fourth Proportional to 2,577.56, 3,866.34 and 1,419.80

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Solution

The fourth proportional to 2,577.56, 3,866.34 and 1,419.80 is: 2,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.56 : 3,866.34 = 1,419.80 : x
  2. Step 2: Convert to fraction form
    2,577.56/3,866.34 = 1,419.80/x
  3. Step 3: Cross multiply
    2,577.56x = 3,866.34 × 1,419.80
  4. Step 4: Simplify right side
    2,577.56x = 5,489,429.53
  5. Step 5: Solve for x
    x = 5,489,429.53/2,577.56
  6. Step 6: Final answer
    x = 2,129.70

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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.