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Finding the Fourth Proportional to 2,096.99, 3,143.28 and 709.01

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Solution

The fourth proportional to 2,096.99, 3,143.28 and 709.01 is: 1,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.99 : 3,143.28 = 709.01 : x
  2. Step 2: Convert to fraction form
    2,096.99/3,143.28 = 709.01/x
  3. Step 3: Cross multiply
    2,096.99x = 3,143.28 × 709.01
  4. Step 4: Simplify right side
    2,096.99x = 2,228,616.95
  5. Step 5: Solve for x
    x = 2,228,616.95/2,096.99
  6. Step 6: Final answer
    x = 1,062.77

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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.