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Finding the Fourth Proportional to 2,096.80, 3,143.91 and 710

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Solution

The fourth proportional to 2,096.80, 3,143.91 and 710 is: 1,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.80 : 3,143.91 = 710 : x
  2. Step 2: Convert to fraction form
    2,096.80/3,143.91 = 710/x
  3. Step 3: Cross multiply
    2,096.80x = 3,143.91 × 710
  4. Step 4: Simplify right side
    2,096.80x = 2,232,176.10
  5. Step 5: Solve for x
    x = 2,232,176.10/2,096.80
  6. Step 6: Final answer
    x = 1,064.56

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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.