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Finding the Fourth Proportional to 3,086.99, 4,260.29 and 1,760.39

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Solution

The fourth proportional to 3,086.99, 4,260.29 and 1,760.39 is: 2,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.99 : 4,260.29 = 1,760.39 : x
  2. Step 2: Convert to fraction form
    3,086.99/4,260.29 = 1,760.39/x
  3. Step 3: Cross multiply
    3,086.99x = 4,260.29 × 1,760.39
  4. Step 4: Simplify right side
    3,086.99x = 7,499,741.81
  5. Step 5: Solve for x
    x = 7,499,741.81/3,086.99
  6. Step 6: Final answer
    x = 2,429.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.