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Finding the Fourth Proportional to 1,427.97, 1,971.56 and 1,095.81

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Solution

The fourth proportional to 1,427.97, 1,971.56 and 1,095.81 is: 1,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.97 : 1,971.56 = 1,095.81 : x
  2. Step 2: Convert to fraction form
    1,427.97/1,971.56 = 1,095.81/x
  3. Step 3: Cross multiply
    1,427.97x = 1,971.56 × 1,095.81
  4. Step 4: Simplify right side
    1,427.97x = 2,160,449.68
  5. Step 5: Solve for x
    x = 2,160,449.68/1,427.97
  6. Step 6: Final answer
    x = 1,512.95

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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.