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Finding the Fourth Proportional to 1,927.79, 2,659.27 and 1,219.42

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Solution

The fourth proportional to 1,927.79, 2,659.27 and 1,219.42 is: 1,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.79 : 2,659.27 = 1,219.42 : x
  2. Step 2: Convert to fraction form
    1,927.79/2,659.27 = 1,219.42/x
  3. Step 3: Cross multiply
    1,927.79x = 2,659.27 × 1,219.42
  4. Step 4: Simplify right side
    1,927.79x = 3,242,767.02
  5. Step 5: Solve for x
    x = 3,242,767.02/1,927.79
  6. Step 6: Final answer
    x = 1,682.12

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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.