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Finding the Fourth Proportional to 1,884.85, 2,828.45 and 845.53

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Solution

The fourth proportional to 1,884.85, 2,828.45 and 845.53 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.85 : 2,828.45 = 845.53 : x
  2. Step 2: Convert to fraction form
    1,884.85/2,828.45 = 845.53/x
  3. Step 3: Cross multiply
    1,884.85x = 2,828.45 × 845.53
  4. Step 4: Simplify right side
    1,884.85x = 2,391,539.33
  5. Step 5: Solve for x
    x = 2,391,539.33/1,884.85
  6. Step 6: Final answer
    x = 1,268.82

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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.