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Finding the Fourth Proportional to 1,486.83, 2,051.92 and 857.47

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Solution

The fourth proportional to 1,486.83, 2,051.92 and 857.47 is: 1,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.83 : 2,051.92 = 857.47 : x
  2. Step 2: Convert to fraction form
    1,486.83/2,051.92 = 857.47/x
  3. Step 3: Cross multiply
    1,486.83x = 2,051.92 × 857.47
  4. Step 4: Simplify right side
    1,486.83x = 1,759,467.08
  5. Step 5: Solve for x
    x = 1,759,467.08/1,486.83
  6. Step 6: Final answer
    x = 1,183.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.