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Finding the Fourth Proportional to 2,361.23, 3,542.02 and 718.93

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Solution

The fourth proportional to 2,361.23, 3,542.02 and 718.93 is: 1,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.23 : 3,542.02 = 718.93 : x
  2. Step 2: Convert to fraction form
    2,361.23/3,542.02 = 718.93/x
  3. Step 3: Cross multiply
    2,361.23x = 3,542.02 × 718.93
  4. Step 4: Simplify right side
    2,361.23x = 2,546,464.44
  5. Step 5: Solve for x
    x = 2,546,464.44/2,361.23
  6. Step 6: Final answer
    x = 1,078.45

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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.