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Finding the Fourth Proportional to 4,566.79, 6,850.23 and 1,643.05

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Solution

The fourth proportional to 4,566.79, 6,850.23 and 1,643.05 is: 2,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.79 : 6,850.23 = 1,643.05 : x
  2. Step 2: Convert to fraction form
    4,566.79/6,850.23 = 1,643.05/x
  3. Step 3: Cross multiply
    4,566.79x = 6,850.23 × 1,643.05
  4. Step 4: Simplify right side
    4,566.79x = 11,255,270.40
  5. Step 5: Solve for x
    x = 11,255,270.40/4,566.79
  6. Step 6: Final answer
    x = 2,464.59

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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.