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Finding the Fourth Proportional to 3,134.64, 4,325.94 and 1,737.39

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Solution

The fourth proportional to 3,134.64, 4,325.94 and 1,737.39 is: 2,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.64 : 4,325.94 = 1,737.39 : x
  2. Step 2: Convert to fraction form
    3,134.64/4,325.94 = 1,737.39/x
  3. Step 3: Cross multiply
    3,134.64x = 4,325.94 × 1,737.39
  4. Step 4: Simplify right side
    3,134.64x = 7,515,844.90
  5. Step 5: Solve for x
    x = 7,515,844.90/3,134.64
  6. Step 6: Final answer
    x = 2,397.67

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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.