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Finding the Fourth Proportional to 1,600.23, 2,208.73 and 1,434.16

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Solution

The fourth proportional to 1,600.23, 2,208.73 and 1,434.16 is: 1,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.23 : 2,208.73 = 1,434.16 : x
  2. Step 2: Convert to fraction form
    1,600.23/2,208.73 = 1,434.16/x
  3. Step 3: Cross multiply
    1,600.23x = 2,208.73 × 1,434.16
  4. Step 4: Simplify right side
    1,600.23x = 3,167,672.22
  5. Step 5: Solve for x
    x = 3,167,672.22/1,600.23
  6. Step 6: Final answer
    x = 1,979.51

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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.