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Finding the Fourth Proportional to 1,876.16, 2,814.62 and 939.59

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Solution

The fourth proportional to 1,876.16, 2,814.62 and 939.59 is: 1,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.16 : 2,814.62 = 939.59 : x
  2. Step 2: Convert to fraction form
    1,876.16/2,814.62 = 939.59/x
  3. Step 3: Cross multiply
    1,876.16x = 2,814.62 × 939.59
  4. Step 4: Simplify right side
    1,876.16x = 2,644,577.08
  5. Step 5: Solve for x
    x = 2,644,577.08/1,876.16
  6. Step 6: Final answer
    x = 1,409.57

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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.