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Finding the Fourth Proportional to 3,174.37, 4,758.44 and 1,326.76

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Solution

The fourth proportional to 3,174.37, 4,758.44 and 1,326.76 is: 1,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.37 : 4,758.44 = 1,326.76 : x
  2. Step 2: Convert to fraction form
    3,174.37/4,758.44 = 1,326.76/x
  3. Step 3: Cross multiply
    3,174.37x = 4,758.44 × 1,326.76
  4. Step 4: Simplify right side
    3,174.37x = 6,313,307.85
  5. Step 5: Solve for x
    x = 6,313,307.85/3,174.37
  6. Step 6: Final answer
    x = 1,988.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.