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Finding the Fourth Proportional to 1,427.67, 1,968.44 and 1,034.55

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Solution

The fourth proportional to 1,427.67, 1,968.44 and 1,034.55 is: 1,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.67 : 1,968.44 = 1,034.55 : x
  2. Step 2: Convert to fraction form
    1,427.67/1,968.44 = 1,034.55/x
  3. Step 3: Cross multiply
    1,427.67x = 1,968.44 × 1,034.55
  4. Step 4: Simplify right side
    1,427.67x = 2,036,444.43
  5. Step 5: Solve for x
    x = 2,036,444.43/1,427.67
  6. Step 6: Final answer
    x = 1,426.41

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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.