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Finding the Fourth Proportional to 2,535.19, 3,804.49 and 891.75

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Solution

The fourth proportional to 2,535.19, 3,804.49 and 891.75 is: 1,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.19 : 3,804.49 = 891.75 : x
  2. Step 2: Convert to fraction form
    2,535.19/3,804.49 = 891.75/x
  3. Step 3: Cross multiply
    2,535.19x = 3,804.49 × 891.75
  4. Step 4: Simplify right side
    2,535.19x = 3,392,653.96
  5. Step 5: Solve for x
    x = 3,392,653.96/2,535.19
  6. Step 6: Final answer
    x = 1,338.22

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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.