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Finding the Fourth Proportional to 2,852.43, 4,277.16 and 1,682.79

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Solution

The fourth proportional to 2,852.43, 4,277.16 and 1,682.79 is: 2,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.43 : 4,277.16 = 1,682.79 : x
  2. Step 2: Convert to fraction form
    2,852.43/4,277.16 = 1,682.79/x
  3. Step 3: Cross multiply
    2,852.43x = 4,277.16 × 1,682.79
  4. Step 4: Simplify right side
    2,852.43x = 7,197,562.08
  5. Step 5: Solve for x
    x = 7,197,562.08/2,852.43
  6. Step 6: Final answer
    x = 2,523.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.