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Finding the Fourth Proportional to 1,843.65, 2,544.29 and 1,004.39

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Solution

The fourth proportional to 1,843.65, 2,544.29 and 1,004.39 is: 1,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.65 : 2,544.29 = 1,004.39 : x
  2. Step 2: Convert to fraction form
    1,843.65/2,544.29 = 1,004.39/x
  3. Step 3: Cross multiply
    1,843.65x = 2,544.29 × 1,004.39
  4. Step 4: Simplify right side
    1,843.65x = 2,555,459.43
  5. Step 5: Solve for x
    x = 2,555,459.43/1,843.65
  6. Step 6: Final answer
    x = 1,386.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.