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Finding the Fourth Proportional to 2,419.77, 3,635.72 and 1,542.68

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Solution

The fourth proportional to 2,419.77, 3,635.72 and 1,542.68 is: 2,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.77 : 3,635.72 = 1,542.68 : x
  2. Step 2: Convert to fraction form
    2,419.77/3,635.72 = 1,542.68/x
  3. Step 3: Cross multiply
    2,419.77x = 3,635.72 × 1,542.68
  4. Step 4: Simplify right side
    2,419.77x = 5,608,746.06
  5. Step 5: Solve for x
    x = 5,608,746.06/2,419.77
  6. Step 6: Final answer
    x = 2,317.88

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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.