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Finding the Fourth Proportional to 1,693.02, 2,331.26 and 1,594.38

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Solution

The fourth proportional to 1,693.02, 2,331.26 and 1,594.38 is: 2,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.02 : 2,331.26 = 1,594.38 : x
  2. Step 2: Convert to fraction form
    1,693.02/2,331.26 = 1,594.38/x
  3. Step 3: Cross multiply
    1,693.02x = 2,331.26 × 1,594.38
  4. Step 4: Simplify right side
    1,693.02x = 3,716,914.32
  5. Step 5: Solve for x
    x = 3,716,914.32/1,693.02
  6. Step 6: Final answer
    x = 2,195.43

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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.