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Finding the Fourth Proportional to 1,669.39, 2,504.12 and 938.38

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Solution

The fourth proportional to 1,669.39, 2,504.12 and 938.38 is: 1,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.39 : 2,504.12 = 938.38 : x
  2. Step 2: Convert to fraction form
    1,669.39/2,504.12 = 938.38/x
  3. Step 3: Cross multiply
    1,669.39x = 2,504.12 × 938.38
  4. Step 4: Simplify right side
    1,669.39x = 2,349,816.13
  5. Step 5: Solve for x
    x = 2,349,816.13/1,669.39
  6. Step 6: Final answer
    x = 1,407.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.