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Finding the Fourth Proportional to 1,805.40, 2,492.61 and 1,474.62

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Solution

The fourth proportional to 1,805.40, 2,492.61 and 1,474.62 is: 2,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.40 : 2,492.61 = 1,474.62 : x
  2. Step 2: Convert to fraction form
    1,805.40/2,492.61 = 1,474.62/x
  3. Step 3: Cross multiply
    1,805.40x = 2,492.61 × 1,474.62
  4. Step 4: Simplify right side
    1,805.40x = 3,675,652.56
  5. Step 5: Solve for x
    x = 3,675,652.56/1,805.40
  6. Step 6: Final answer
    x = 2,035.92

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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.