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Finding the Fourth Proportional to 2,005.68, 2,768.08 and 1,219.84

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Solution

The fourth proportional to 2,005.68, 2,768.08 and 1,219.84 is: 1,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.68 : 2,768.08 = 1,219.84 : x
  2. Step 2: Convert to fraction form
    2,005.68/2,768.08 = 1,219.84/x
  3. Step 3: Cross multiply
    2,005.68x = 2,768.08 × 1,219.84
  4. Step 4: Simplify right side
    2,005.68x = 3,376,614.71
  5. Step 5: Solve for x
    x = 3,376,614.71/2,005.68
  6. Step 6: Final answer
    x = 1,683.53

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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.