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Finding the Fourth Proportional to 1,843.71, 2,544.37 and 1,004.46

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Solution

The fourth proportional to 1,843.71, 2,544.37 and 1,004.46 is: 1,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.71 : 2,544.37 = 1,004.46 : x
  2. Step 2: Convert to fraction form
    1,843.71/2,544.37 = 1,004.46/x
  3. Step 3: Cross multiply
    1,843.71x = 2,544.37 × 1,004.46
  4. Step 4: Simplify right side
    1,843.71x = 2,555,717.89
  5. Step 5: Solve for x
    x = 2,555,717.89/1,843.71
  6. Step 6: Final answer
    x = 1,386.18

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