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Finding the Fourth Proportional to 2,096.31, 2,894.27 and 1,300.48

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Solution

The fourth proportional to 2,096.31, 2,894.27 and 1,300.48 is: 1,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.31 : 2,894.27 = 1,300.48 : x
  2. Step 2: Convert to fraction form
    2,096.31/2,894.27 = 1,300.48/x
  3. Step 3: Cross multiply
    2,096.31x = 2,894.27 × 1,300.48
  4. Step 4: Simplify right side
    2,096.31x = 3,763,940.25
  5. Step 5: Solve for x
    x = 3,763,940.25/2,096.31
  6. Step 6: Final answer
    x = 1,795.51

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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.