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Finding the Fourth Proportional to 1,884.51, 2,827.49 and 788.81

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Solution

The fourth proportional to 1,884.51, 2,827.49 and 788.81 is: 1,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.51 : 2,827.49 = 788.81 : x
  2. Step 2: Convert to fraction form
    1,884.51/2,827.49 = 788.81/x
  3. Step 3: Cross multiply
    1,884.51x = 2,827.49 × 788.81
  4. Step 4: Simplify right side
    1,884.51x = 2,230,334.31
  5. Step 5: Solve for x
    x = 2,230,334.31/1,884.51
  6. Step 6: Final answer
    x = 1,183.51

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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.