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Finding the Fourth Proportional to 3,271.40, 4,906.46 and 1,515.86

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Solution

The fourth proportional to 3,271.40, 4,906.46 and 1,515.86 is: 2,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.40 : 4,906.46 = 1,515.86 : x
  2. Step 2: Convert to fraction form
    3,271.40/4,906.46 = 1,515.86/x
  3. Step 3: Cross multiply
    3,271.40x = 4,906.46 × 1,515.86
  4. Step 4: Simplify right side
    3,271.40x = 7,437,506.46
  5. Step 5: Solve for x
    x = 7,437,506.46/3,271.40
  6. Step 6: Final answer
    x = 2,273.49

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Why These Related Problems?

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