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Finding the Fourth Proportional to 1,867.82, 2,801.64 and 569.26

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Solution

The fourth proportional to 1,867.82, 2,801.64 and 569.26 is: 853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.82 : 2,801.64 = 569.26 : x
  2. Step 2: Convert to fraction form
    1,867.82/2,801.64 = 569.26/x
  3. Step 3: Cross multiply
    1,867.82x = 2,801.64 × 569.26
  4. Step 4: Simplify right side
    1,867.82x = 1,594,861.59
  5. Step 5: Solve for x
    x = 1,594,861.59/1,867.82
  6. Step 6: Final answer
    x = 853.86

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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.