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Finding the Fourth Proportional to 1,361.52, 2,038.56 and 1,072.32

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Solution

The fourth proportional to 1,361.52, 2,038.56 and 1,072.32 is: 1,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.52 : 2,038.56 = 1,072.32 : x
  2. Step 2: Convert to fraction form
    1,361.52/2,038.56 = 1,072.32/x
  3. Step 3: Cross multiply
    1,361.52x = 2,038.56 × 1,072.32
  4. Step 4: Simplify right side
    1,361.52x = 2,185,988.66
  5. Step 5: Solve for x
    x = 2,185,988.66/1,361.52
  6. Step 6: Final answer
    x = 1,605.55

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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.