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Finding the Fourth Proportional to 2,271.64, 3,407.46 and 733.72

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Solution

The fourth proportional to 2,271.64, 3,407.46 and 733.72 is: 1,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.64 : 3,407.46 = 733.72 : x
  2. Step 2: Convert to fraction form
    2,271.64/3,407.46 = 733.72/x
  3. Step 3: Cross multiply
    2,271.64x = 3,407.46 × 733.72
  4. Step 4: Simplify right side
    2,271.64x = 2,500,121.55
  5. Step 5: Solve for x
    x = 2,500,121.55/2,271.64
  6. Step 6: Final answer
    x = 1,100.58

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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.