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Finding the Fourth Proportional to 1,853.81, 2,781.02 and 879.38

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Solution

The fourth proportional to 1,853.81, 2,781.02 and 879.38 is: 1,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.81 : 2,781.02 = 879.38 : x
  2. Step 2: Convert to fraction form
    1,853.81/2,781.02 = 879.38/x
  3. Step 3: Cross multiply
    1,853.81x = 2,781.02 × 879.38
  4. Step 4: Simplify right side
    1,853.81x = 2,445,573.37
  5. Step 5: Solve for x
    x = 2,445,573.37/1,853.81
  6. Step 6: Final answer
    x = 1,319.21

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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.