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Finding the Fourth Proportional to 2,271.08, 3,405.84 and 1,100.40

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Solution

The fourth proportional to 2,271.08, 3,405.84 and 1,100.40 is: 1,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.08 : 3,405.84 = 1,100.40 : x
  2. Step 2: Convert to fraction form
    2,271.08/3,405.84 = 1,100.40/x
  3. Step 3: Cross multiply
    2,271.08x = 3,405.84 × 1,100.40
  4. Step 4: Simplify right side
    2,271.08x = 3,747,786.34
  5. Step 5: Solve for x
    x = 3,747,786.34/2,271.08
  6. Step 6: Final answer
    x = 1,650.22

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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.