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Finding the Fourth Proportional to 1,894.54, 2,842.64 and 662.84

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Solution

The fourth proportional to 1,894.54, 2,842.64 and 662.84 is: 994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.54 : 2,842.64 = 662.84 : x
  2. Step 2: Convert to fraction form
    1,894.54/2,842.64 = 662.84/x
  3. Step 3: Cross multiply
    1,894.54x = 2,842.64 × 662.84
  4. Step 4: Simplify right side
    1,894.54x = 1,884,197.97
  5. Step 5: Solve for x
    x = 1,884,197.97/1,894.54
  6. Step 6: Final answer
    x = 994.54

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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.