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Finding the Fourth Proportional to 1,805.08, 2,492.42 and 1,384.77

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Solution

The fourth proportional to 1,805.08, 2,492.42 and 1,384.77 is: 1,912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.08 : 2,492.42 = 1,384.77 : x
  2. Step 2: Convert to fraction form
    1,805.08/2,492.42 = 1,384.77/x
  3. Step 3: Cross multiply
    1,805.08x = 2,492.42 × 1,384.77
  4. Step 4: Simplify right side
    1,805.08x = 3,451,415.98
  5. Step 5: Solve for x
    x = 3,451,415.98/1,805.08
  6. Step 6: Final answer
    x = 1,912.06

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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.