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Finding the Fourth Proportional to 2,709.63, 4,040.32 and 2,704.46

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Solution

The fourth proportional to 2,709.63, 4,040.32 and 2,704.46 is: 4,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.63 : 4,040.32 = 2,704.46 : x
  2. Step 2: Convert to fraction form
    2,709.63/4,040.32 = 2,704.46/x
  3. Step 3: Cross multiply
    2,709.63x = 4,040.32 × 2,704.46
  4. Step 4: Simplify right side
    2,709.63x = 10,926,887.17
  5. Step 5: Solve for x
    x = 10,926,887.17/2,709.63
  6. Step 6: Final answer
    x = 4,032.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.