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Finding the Fourth Proportional to 1,361.96, 2,043.10 and 388.14

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Solution

The fourth proportional to 1,361.96, 2,043.10 and 388.14 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.96 : 2,043.10 = 388.14 : x
  2. Step 2: Convert to fraction form
    1,361.96/2,043.10 = 388.14/x
  3. Step 3: Cross multiply
    1,361.96x = 2,043.10 × 388.14
  4. Step 4: Simplify right side
    1,361.96x = 793,008.83
  5. Step 5: Solve for x
    x = 793,008.83/1,361.96
  6. Step 6: Final answer
    x = 582.26

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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.