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Finding the Fourth Proportional to 1,823.55, 2,731.55 and 850.47

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Solution

The fourth proportional to 1,823.55, 2,731.55 and 850.47 is: 1,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.55 : 2,731.55 = 850.47 : x
  2. Step 2: Convert to fraction form
    1,823.55/2,731.55 = 850.47/x
  3. Step 3: Cross multiply
    1,823.55x = 2,731.55 × 850.47
  4. Step 4: Simplify right side
    1,823.55x = 2,323,097.08
  5. Step 5: Solve for x
    x = 2,323,097.08/1,823.55
  6. Step 6: Final answer
    x = 1,273.94

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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.