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Finding the Fourth Proportional to 1,895.44, 2,843.04 and 1,078.72

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Solution

The fourth proportional to 1,895.44, 2,843.04 and 1,078.72 is: 1,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.44 : 2,843.04 = 1,078.72 : x
  2. Step 2: Convert to fraction form
    1,895.44/2,843.04 = 1,078.72/x
  3. Step 3: Cross multiply
    1,895.44x = 2,843.04 × 1,078.72
  4. Step 4: Simplify right side
    1,895.44x = 3,066,844.11
  5. Step 5: Solve for x
    x = 3,066,844.11/1,895.44
  6. Step 6: Final answer
    x = 1,618.01

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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.