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Finding the Fourth Proportional to 3,137.68, 4,706.61 and 1,750.24

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Solution

The fourth proportional to 3,137.68, 4,706.61 and 1,750.24 is: 2,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.68 : 4,706.61 = 1,750.24 : x
  2. Step 2: Convert to fraction form
    3,137.68/4,706.61 = 1,750.24/x
  3. Step 3: Cross multiply
    3,137.68x = 4,706.61 × 1,750.24
  4. Step 4: Simplify right side
    3,137.68x = 8,237,697.09
  5. Step 5: Solve for x
    x = 8,237,697.09/3,137.68
  6. Step 6: Final answer
    x = 2,625.41

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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.