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Finding the Fourth Proportional to 1,927.62, 2,660.52 and 1,219.01

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Solution

The fourth proportional to 1,927.62, 2,660.52 and 1,219.01 is: 1,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.62 : 2,660.52 = 1,219.01 : x
  2. Step 2: Convert to fraction form
    1,927.62/2,660.52 = 1,219.01/x
  3. Step 3: Cross multiply
    1,927.62x = 2,660.52 × 1,219.01
  4. Step 4: Simplify right side
    1,927.62x = 3,243,200.49
  5. Step 5: Solve for x
    x = 3,243,200.49/1,927.62
  6. Step 6: Final answer
    x = 1,682.49

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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.