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Finding the Fourth Proportional to 3,137.64, 4,706.97 and 1,288.25

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Solution

The fourth proportional to 3,137.64, 4,706.97 and 1,288.25 is: 1,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.64 : 4,706.97 = 1,288.25 : x
  2. Step 2: Convert to fraction form
    3,137.64/4,706.97 = 1,288.25/x
  3. Step 3: Cross multiply
    3,137.64x = 4,706.97 × 1,288.25
  4. Step 4: Simplify right side
    3,137.64x = 6,063,754.10
  5. Step 5: Solve for x
    x = 6,063,754.10/3,137.64
  6. Step 6: Final answer
    x = 1,932.58

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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.