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Finding the Fourth Proportional to 1,995.32, 2,752.14 and 1,427.61

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Solution

The fourth proportional to 1,995.32, 2,752.14 and 1,427.61 is: 1,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.32 : 2,752.14 = 1,427.61 : x
  2. Step 2: Convert to fraction form
    1,995.32/2,752.14 = 1,427.61/x
  3. Step 3: Cross multiply
    1,995.32x = 2,752.14 × 1,427.61
  4. Step 4: Simplify right side
    1,995.32x = 3,928,982.59
  5. Step 5: Solve for x
    x = 3,928,982.59/1,995.32
  6. Step 6: Final answer
    x = 1,969.10

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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.