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Finding the Fourth Proportional to 2,843.75, 4,266.54 and 1,804.62

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Solution

The fourth proportional to 2,843.75, 4,266.54 and 1,804.62 is: 2,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.75 : 4,266.54 = 1,804.62 : x
  2. Step 2: Convert to fraction form
    2,843.75/4,266.54 = 1,804.62/x
  3. Step 3: Cross multiply
    2,843.75x = 4,266.54 × 1,804.62
  4. Step 4: Simplify right side
    2,843.75x = 7,699,499.41
  5. Step 5: Solve for x
    x = 7,699,499.41/2,843.75
  6. Step 6: Final answer
    x = 2,707.51

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1.5x scale

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.