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Finding the Fourth Proportional to 2,271.65, 3,405.24 and 1,100.93

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Solution

The fourth proportional to 2,271.65, 3,405.24 and 1,100.93 is: 1,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.65 : 3,405.24 = 1,100.93 : x
  2. Step 2: Convert to fraction form
    2,271.65/3,405.24 = 1,100.93/x
  3. Step 3: Cross multiply
    2,271.65x = 3,405.24 × 1,100.93
  4. Step 4: Simplify right side
    2,271.65x = 3,748,913.85
  5. Step 5: Solve for x
    x = 3,748,913.85/2,271.65
  6. Step 6: Final answer
    x = 1,650.31

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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.