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Finding the Fourth Proportional to 1,523.44, 2,103.24 and 1,435.96

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Solution

The fourth proportional to 1,523.44, 2,103.24 and 1,435.96 is: 1,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.44 : 2,103.24 = 1,435.96 : x
  2. Step 2: Convert to fraction form
    1,523.44/2,103.24 = 1,435.96/x
  3. Step 3: Cross multiply
    1,523.44x = 2,103.24 × 1,435.96
  4. Step 4: Simplify right side
    1,523.44x = 3,020,168.51
  5. Step 5: Solve for x
    x = 3,020,168.51/1,523.44
  6. Step 6: Final answer
    x = 1,982.47

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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.