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Finding the Fourth Proportional to 1,231.94, 1,847.55 and 1,014.98

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Solution

The fourth proportional to 1,231.94, 1,847.55 and 1,014.98 is: 1,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.94 : 1,847.55 = 1,014.98 : x
  2. Step 2: Convert to fraction form
    1,231.94/1,847.55 = 1,014.98/x
  3. Step 3: Cross multiply
    1,231.94x = 1,847.55 × 1,014.98
  4. Step 4: Simplify right side
    1,231.94x = 1,875,226.30
  5. Step 5: Solve for x
    x = 1,875,226.30/1,231.94
  6. Step 6: Final answer
    x = 1,522.17

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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.