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Finding the Fourth Proportional to 1,227.76, 1,832.70 and 1,137.52

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Solution

The fourth proportional to 1,227.76, 1,832.70 and 1,137.52 is: 1,698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.76 : 1,832.70 = 1,137.52 : x
  2. Step 2: Convert to fraction form
    1,227.76/1,832.70 = 1,137.52/x
  3. Step 3: Cross multiply
    1,227.76x = 1,832.70 × 1,137.52
  4. Step 4: Simplify right side
    1,227.76x = 2,084,732.90
  5. Step 5: Solve for x
    x = 2,084,732.90/1,227.76
  6. Step 6: Final answer
    x = 1,698.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.