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Finding the Fourth Proportional to 3,134.63, 4,325.79 and 1,737.38

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Solution

The fourth proportional to 3,134.63, 4,325.79 and 1,737.38 is: 2,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.63 : 4,325.79 = 1,737.38 : x
  2. Step 2: Convert to fraction form
    3,134.63/4,325.79 = 1,737.38/x
  3. Step 3: Cross multiply
    3,134.63x = 4,325.79 × 1,737.38
  4. Step 4: Simplify right side
    3,134.63x = 7,515,519.40
  5. Step 5: Solve for x
    x = 7,515,519.40/3,134.63
  6. Step 6: Final answer
    x = 2,397.58

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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.