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Finding the Fourth Proportional to 1,995.40, 2,753.64 and 1,111.24

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Solution

The fourth proportional to 1,995.40, 2,753.64 and 1,111.24 is: 1,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.40 : 2,753.64 = 1,111.24 : x
  2. Step 2: Convert to fraction form
    1,995.40/2,753.64 = 1,111.24/x
  3. Step 3: Cross multiply
    1,995.40x = 2,753.64 × 1,111.24
  4. Step 4: Simplify right side
    1,995.40x = 3,059,954.91
  5. Step 5: Solve for x
    x = 3,059,954.91/1,995.40
  6. Step 6: Final answer
    x = 1,533.50

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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.