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Finding the Fourth Proportional to 1,619.16, 2,224.75 and 1,287.01

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Solution

The fourth proportional to 1,619.16, 2,224.75 and 1,287.01 is: 1,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.16 : 2,224.75 = 1,287.01 : x
  2. Step 2: Convert to fraction form
    1,619.16/2,224.75 = 1,287.01/x
  3. Step 3: Cross multiply
    1,619.16x = 2,224.75 × 1,287.01
  4. Step 4: Simplify right side
    1,619.16x = 2,863,268.58
  5. Step 5: Solve for x
    x = 2,863,268.58/1,619.16
  6. Step 6: Final answer
    x = 1,768.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.