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Finding the Fourth Proportional to 2,355.44, 3,534.32 and 1,666.54

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Solution

The fourth proportional to 2,355.44, 3,534.32 and 1,666.54 is: 2,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.44 : 3,534.32 = 1,666.54 : x
  2. Step 2: Convert to fraction form
    2,355.44/3,534.32 = 1,666.54/x
  3. Step 3: Cross multiply
    2,355.44x = 3,534.32 × 1,666.54
  4. Step 4: Simplify right side
    2,355.44x = 5,890,067.98
  5. Step 5: Solve for x
    x = 5,890,067.98/2,355.44
  6. Step 6: Final answer
    x = 2,500.62

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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.