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Finding the Fourth Proportional to 1,857.76, 2,788.08 and 832.48

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Solution

The fourth proportional to 1,857.76, 2,788.08 and 832.48 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.76 : 2,788.08 = 832.48 : x
  2. Step 2: Convert to fraction form
    1,857.76/2,788.08 = 832.48/x
  3. Step 3: Cross multiply
    1,857.76x = 2,788.08 × 832.48
  4. Step 4: Simplify right side
    1,857.76x = 2,321,020.84
  5. Step 5: Solve for x
    x = 2,321,020.84/1,857.76
  6. Step 6: Final answer
    x = 1,249.37

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Why These Related Problems?

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