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Finding the Fourth Proportional to 2,271.46, 3,405.16 and 1,100.74

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Solution

The fourth proportional to 2,271.46, 3,405.16 and 1,100.74 is: 1,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.46 : 3,405.16 = 1,100.74 : x
  2. Step 2: Convert to fraction form
    2,271.46/3,405.16 = 1,100.74/x
  3. Step 3: Cross multiply
    2,271.46x = 3,405.16 × 1,100.74
  4. Step 4: Simplify right side
    2,271.46x = 3,748,195.82
  5. Step 5: Solve for x
    x = 3,748,195.82/2,271.46
  6. Step 6: Final answer
    x = 1,650.13

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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.