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Finding the Fourth Proportional to 3,271.94, 4,910.08 and 1,540.70

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Solution

The fourth proportional to 3,271.94, 4,910.08 and 1,540.70 is: 2,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.94 : 4,910.08 = 1,540.70 : x
  2. Step 2: Convert to fraction form
    3,271.94/4,910.08 = 1,540.70/x
  3. Step 3: Cross multiply
    3,271.94x = 4,910.08 × 1,540.70
  4. Step 4: Simplify right side
    3,271.94x = 7,564,960.26
  5. Step 5: Solve for x
    x = 7,564,960.26/3,271.94
  6. Step 6: Final answer
    x = 2,312.07

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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.