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Finding the Fourth Proportional to 2,971.68, 4,467.64 and 2,427.81

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Solution

The fourth proportional to 2,971.68, 4,467.64 and 2,427.81 is: 3,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.68 : 4,467.64 = 2,427.81 : x
  2. Step 2: Convert to fraction form
    2,971.68/4,467.64 = 2,427.81/x
  3. Step 3: Cross multiply
    2,971.68x = 4,467.64 × 2,427.81
  4. Step 4: Simplify right side
    2,971.68x = 10,846,581.07
  5. Step 5: Solve for x
    x = 10,846,581.07/2,971.68
  6. Step 6: Final answer
    x = 3,649.98

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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.