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Finding the Fourth Proportional to 1,427.45, 1,977.50 and 1,393.43

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Solution

The fourth proportional to 1,427.45, 1,977.50 and 1,393.43 is: 1,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.45 : 1,977.50 = 1,393.43 : x
  2. Step 2: Convert to fraction form
    1,427.45/1,977.50 = 1,393.43/x
  3. Step 3: Cross multiply
    1,427.45x = 1,977.50 × 1,393.43
  4. Step 4: Simplify right side
    1,427.45x = 2,755,490.97
  5. Step 5: Solve for x
    x = 2,755,490.97/1,427.45
  6. Step 6: Final answer
    x = 1,930.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.