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Finding the Fourth Proportional to 2,663.92, 3,995.73 and 1,020.34

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Solution

The fourth proportional to 2,663.92, 3,995.73 and 1,020.34 is: 1,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,995.73 = 1,020.34 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,995.73 = 1,020.34/x
  3. Step 3: Cross multiply
    2,663.92x = 3,995.73 × 1,020.34
  4. Step 4: Simplify right side
    2,663.92x = 4,076,983.17
  5. Step 5: Solve for x
    x = 4,076,983.17/2,663.92
  6. Step 6: Final answer
    x = 1,530.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.