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Finding the Fourth Proportional to 2,271.49, 3,404.83 and 1,295.50

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Solution

The fourth proportional to 2,271.49, 3,404.83 and 1,295.50 is: 1,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.49 : 3,404.83 = 1,295.50 : x
  2. Step 2: Convert to fraction form
    2,271.49/3,404.83 = 1,295.50/x
  3. Step 3: Cross multiply
    2,271.49x = 3,404.83 × 1,295.50
  4. Step 4: Simplify right side
    2,271.49x = 4,410,957.27
  5. Step 5: Solve for x
    x = 4,410,957.27/2,271.49
  6. Step 6: Final answer
    x = 1,941.88

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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.