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Finding the Fourth Proportional to 2,832.80, 3,908.47 and 1,784.26

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Solution

The fourth proportional to 2,832.80, 3,908.47 and 1,784.26 is: 2,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.80 : 3,908.47 = 1,784.26 : x
  2. Step 2: Convert to fraction form
    2,832.80/3,908.47 = 1,784.26/x
  3. Step 3: Cross multiply
    2,832.80x = 3,908.47 × 1,784.26
  4. Step 4: Simplify right side
    2,832.80x = 6,973,698.22
  5. Step 5: Solve for x
    x = 6,973,698.22/2,832.80
  6. Step 6: Final answer
    x = 2,461.77

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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.