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Finding the Fourth Proportional to 1,723.82, 2,584.16 and 627.93

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Solution

The fourth proportional to 1,723.82, 2,584.16 and 627.93 is: 941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.82 : 2,584.16 = 627.93 : x
  2. Step 2: Convert to fraction form
    1,723.82/2,584.16 = 627.93/x
  3. Step 3: Cross multiply
    1,723.82x = 2,584.16 × 627.93
  4. Step 4: Simplify right side
    1,723.82x = 1,622,668.45
  5. Step 5: Solve for x
    x = 1,622,668.45/1,723.82
  6. Step 6: Final answer
    x = 941.32

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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.