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Finding the Fourth Proportional to 1,965.77, 2,709.61 and 1,492.12

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Solution

The fourth proportional to 1,965.77, 2,709.61 and 1,492.12 is: 2,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.77 : 2,709.61 = 1,492.12 : x
  2. Step 2: Convert to fraction form
    1,965.77/2,709.61 = 1,492.12/x
  3. Step 3: Cross multiply
    1,965.77x = 2,709.61 × 1,492.12
  4. Step 4: Simplify right side
    1,965.77x = 4,043,052.77
  5. Step 5: Solve for x
    x = 4,043,052.77/1,965.77
  6. Step 6: Final answer
    x = 2,056.73

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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.