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Finding the Fourth Proportional to 2,371.68, 3,272.94 and 1,427.58

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Solution

The fourth proportional to 2,371.68, 3,272.94 and 1,427.58 is: 1,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.68 : 3,272.94 = 1,427.58 : x
  2. Step 2: Convert to fraction form
    2,371.68/3,272.94 = 1,427.58/x
  3. Step 3: Cross multiply
    2,371.68x = 3,272.94 × 1,427.58
  4. Step 4: Simplify right side
    2,371.68x = 4,672,383.69
  5. Step 5: Solve for x
    x = 4,672,383.69/2,371.68
  6. Step 6: Final answer
    x = 1,970.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.