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Finding the Fourth Proportional to 2,922.42, 4,384.80 and 1,754.64

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Solution

The fourth proportional to 2,922.42, 4,384.80 and 1,754.64 is: 2,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.42 : 4,384.80 = 1,754.64 : x
  2. Step 2: Convert to fraction form
    2,922.42/4,384.80 = 1,754.64/x
  3. Step 3: Cross multiply
    2,922.42x = 4,384.80 × 1,754.64
  4. Step 4: Simplify right side
    2,922.42x = 7,693,745.47
  5. Step 5: Solve for x
    x = 7,693,745.47/2,922.42
  6. Step 6: Final answer
    x = 2,632.66

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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.