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Finding the Fourth Proportional to 1,805.94, 2,492.64 and 1,282.14

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Solution

The fourth proportional to 1,805.94, 2,492.64 and 1,282.14 is: 1,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.94 : 2,492.64 = 1,282.14 : x
  2. Step 2: Convert to fraction form
    1,805.94/2,492.64 = 1,282.14/x
  3. Step 3: Cross multiply
    1,805.94x = 2,492.64 × 1,282.14
  4. Step 4: Simplify right side
    1,805.94x = 3,195,913.45
  5. Step 5: Solve for x
    x = 3,195,913.45/1,805.94
  6. Step 6: Final answer
    x = 1,769.67

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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.