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Finding the Fourth Proportional to 1,886.22, 2,828.80 and 569.97

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Solution

The fourth proportional to 1,886.22, 2,828.80 and 569.97 is: 854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.22 : 2,828.80 = 569.97 : x
  2. Step 2: Convert to fraction form
    1,886.22/2,828.80 = 569.97/x
  3. Step 3: Cross multiply
    1,886.22x = 2,828.80 × 569.97
  4. Step 4: Simplify right side
    1,886.22x = 1,612,331.14
  5. Step 5: Solve for x
    x = 1,612,331.14/1,886.22
  6. Step 6: Final answer
    x = 854.79

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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.