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Finding the Fourth Proportional to 1,969.09, 2,952.64 and 873.79

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Solution

The fourth proportional to 1,969.09, 2,952.64 and 873.79 is: 1,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.09 : 2,952.64 = 873.79 : x
  2. Step 2: Convert to fraction form
    1,969.09/2,952.64 = 873.79/x
  3. Step 3: Cross multiply
    1,969.09x = 2,952.64 × 873.79
  4. Step 4: Simplify right side
    1,969.09x = 2,579,987.31
  5. Step 5: Solve for x
    x = 2,579,987.31/1,969.09
  6. Step 6: Final answer
    x = 1,310.24

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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.