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Finding the Fourth Proportional to 2,148.60, 3,222.36 and 850.08

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Solution

The fourth proportional to 2,148.60, 3,222.36 and 850.08 is: 1,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.60 : 3,222.36 = 850.08 : x
  2. Step 2: Convert to fraction form
    2,148.60/3,222.36 = 850.08/x
  3. Step 3: Cross multiply
    2,148.60x = 3,222.36 × 850.08
  4. Step 4: Simplify right side
    2,148.60x = 2,739,263.79
  5. Step 5: Solve for x
    x = 2,739,263.79/2,148.60
  6. Step 6: Final answer
    x = 1,274.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.