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Finding the Fourth Proportional to 2,967.41, 4,447.47 and 1,666.15

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Solution

The fourth proportional to 2,967.41, 4,447.47 and 1,666.15 is: 2,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.41 : 4,447.47 = 1,666.15 : x
  2. Step 2: Convert to fraction form
    2,967.41/4,447.47 = 1,666.15/x
  3. Step 3: Cross multiply
    2,967.41x = 4,447.47 × 1,666.15
  4. Step 4: Simplify right side
    2,967.41x = 7,410,147.27
  5. Step 5: Solve for x
    x = 7,410,147.27/2,967.41
  6. Step 6: Final answer
    x = 2,497.17

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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.