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Finding the Fourth Proportional to 2,185.90, 3,274.50 and 1,032.46

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Solution

The fourth proportional to 2,185.90, 3,274.50 and 1,032.46 is: 1,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.90 : 3,274.50 = 1,032.46 : x
  2. Step 2: Convert to fraction form
    2,185.90/3,274.50 = 1,032.46/x
  3. Step 3: Cross multiply
    2,185.90x = 3,274.50 × 1,032.46
  4. Step 4: Simplify right side
    2,185.90x = 3,380,790.27
  5. Step 5: Solve for x
    x = 3,380,790.27/2,185.90
  6. Step 6: Final answer
    x = 1,546.64

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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.