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Finding the Fourth Proportional to 3,053.79, 4,214.23 and 1,656.54

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Solution

The fourth proportional to 3,053.79, 4,214.23 and 1,656.54 is: 2,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.79 : 4,214.23 = 1,656.54 : x
  2. Step 2: Convert to fraction form
    3,053.79/4,214.23 = 1,656.54/x
  3. Step 3: Cross multiply
    3,053.79x = 4,214.23 × 1,656.54
  4. Step 4: Simplify right side
    3,053.79x = 6,981,040.56
  5. Step 5: Solve for x
    x = 6,981,040.56/3,053.79
  6. Step 6: Final answer
    x = 2,286.03

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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.