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Finding the Fourth Proportional to 2,709.99, 4,064.17 and 1,410.75

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Solution

The fourth proportional to 2,709.99, 4,064.17 and 1,410.75 is: 2,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.99 : 4,064.17 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    2,709.99/4,064.17 = 1,410.75/x
  3. Step 3: Cross multiply
    2,709.99x = 4,064.17 × 1,410.75
  4. Step 4: Simplify right side
    2,709.99x = 5,733,527.83
  5. Step 5: Solve for x
    x = 5,733,527.83/2,709.99
  6. Step 6: Final answer
    x = 2,115.70

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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.