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Finding the Fourth Proportional to 1,438.83, 1,982.48 and 1,361.07

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Solution

The fourth proportional to 1,438.83, 1,982.48 and 1,361.07 is: 1,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.83 : 1,982.48 = 1,361.07 : x
  2. Step 2: Convert to fraction form
    1,438.83/1,982.48 = 1,361.07/x
  3. Step 3: Cross multiply
    1,438.83x = 1,982.48 × 1,361.07
  4. Step 4: Simplify right side
    1,438.83x = 2,698,287.25
  5. Step 5: Solve for x
    x = 2,698,287.25/1,438.83
  6. Step 6: Final answer
    x = 1,875.33

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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.