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Finding the Fourth Proportional to 1,796.26, 2,476.02 and 1,645.60

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Solution

The fourth proportional to 1,796.26, 2,476.02 and 1,645.60 is: 2,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.26 : 2,476.02 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    1,796.26/2,476.02 = 1,645.60/x
  3. Step 3: Cross multiply
    1,796.26x = 2,476.02 × 1,645.60
  4. Step 4: Simplify right side
    1,796.26x = 4,074,538.51
  5. Step 5: Solve for x
    x = 4,074,538.51/1,796.26
  6. Step 6: Final answer
    x = 2,268.35

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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.