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Finding the Fourth Proportional to 1,270.36, 1,753.92 and 1,137.36

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Solution

The fourth proportional to 1,270.36, 1,753.92 and 1,137.36 is: 1,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.36 : 1,753.92 = 1,137.36 : x
  2. Step 2: Convert to fraction form
    1,270.36/1,753.92 = 1,137.36/x
  3. Step 3: Cross multiply
    1,270.36x = 1,753.92 × 1,137.36
  4. Step 4: Simplify right side
    1,270.36x = 1,994,838.45
  5. Step 5: Solve for x
    x = 1,994,838.45/1,270.36
  6. Step 6: Final answer
    x = 1,570.29

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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.