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Finding the Fourth Proportional to 1,886.38, 2,600.81 and 1,567.29

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Solution

The fourth proportional to 1,886.38, 2,600.81 and 1,567.29 is: 2,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.38 : 2,600.81 = 1,567.29 : x
  2. Step 2: Convert to fraction form
    1,886.38/2,600.81 = 1,567.29/x
  3. Step 3: Cross multiply
    1,886.38x = 2,600.81 × 1,567.29
  4. Step 4: Simplify right side
    1,886.38x = 4,076,231.30
  5. Step 5: Solve for x
    x = 4,076,231.30/1,886.38
  6. Step 6: Final answer
    x = 2,160.88

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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.