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Finding the Fourth Proportional to 1,995.80, 2,754.34 and 1,111.64

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Solution

The fourth proportional to 1,995.80, 2,754.34 and 1,111.64 is: 1,534.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.80 : 2,754.34 = 1,111.64 : x
  2. Step 2: Convert to fraction form
    1,995.80/2,754.34 = 1,111.64/x
  3. Step 3: Cross multiply
    1,995.80x = 2,754.34 × 1,111.64
  4. Step 4: Simplify right side
    1,995.80x = 3,061,834.52
  5. Step 5: Solve for x
    x = 3,061,834.52/1,995.80
  6. Step 6: Final answer
    x = 1,534.14

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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.