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Finding the Fourth Proportional to 2,096.88, 3,142.56 and 926.48

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Solution

The fourth proportional to 2,096.88, 3,142.56 and 926.48 is: 1,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.88 : 3,142.56 = 926.48 : x
  2. Step 2: Convert to fraction form
    2,096.88/3,142.56 = 926.48/x
  3. Step 3: Cross multiply
    2,096.88x = 3,142.56 × 926.48
  4. Step 4: Simplify right side
    2,096.88x = 2,911,518.99
  5. Step 5: Solve for x
    x = 2,911,518.99/2,096.88
  6. Step 6: Final answer
    x = 1,388.50

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Why These Related Problems?

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