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Finding the Fourth Proportional to 3,265, 4,894.26 and 1,804.84

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Solution

The fourth proportional to 3,265, 4,894.26 and 1,804.84 is: 2,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265 : 4,894.26 = 1,804.84 : x
  2. Step 2: Convert to fraction form
    3,265/4,894.26 = 1,804.84/x
  3. Step 3: Cross multiply
    3,265x = 4,894.26 × 1,804.84
  4. Step 4: Simplify right side
    3,265x = 8,833,356.22
  5. Step 5: Solve for x
    x = 8,833,356.22/3,265
  6. Step 6: Final answer
    x = 2,705.47

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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.