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Finding the Fourth Proportional to 1,896.04, 2,837.80 and 1,162.16

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Solution

The fourth proportional to 1,896.04, 2,837.80 and 1,162.16 is: 1,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.04 : 2,837.80 = 1,162.16 : x
  2. Step 2: Convert to fraction form
    1,896.04/2,837.80 = 1,162.16/x
  3. Step 3: Cross multiply
    1,896.04x = 2,837.80 × 1,162.16
  4. Step 4: Simplify right side
    1,896.04x = 3,297,977.65
  5. Step 5: Solve for x
    x = 3,297,977.65/1,896.04
  6. Step 6: Final answer
    x = 1,739.40

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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.