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Finding the Fourth Proportional to 2,566.74, 3,840.12 and 1,952.22

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Solution

The fourth proportional to 2,566.74, 3,840.12 and 1,952.22 is: 2,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.74 : 3,840.12 = 1,952.22 : x
  2. Step 2: Convert to fraction form
    2,566.74/3,840.12 = 1,952.22/x
  3. Step 3: Cross multiply
    2,566.74x = 3,840.12 × 1,952.22
  4. Step 4: Simplify right side
    2,566.74x = 7,496,759.07
  5. Step 5: Solve for x
    x = 7,496,759.07/2,566.74
  6. Step 6: Final answer
    x = 2,920.73

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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.