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Finding the Fourth Proportional to 2,930.39, 4,042.80 and 1,809.38

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Solution

The fourth proportional to 2,930.39, 4,042.80 and 1,809.38 is: 2,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.39 : 4,042.80 = 1,809.38 : x
  2. Step 2: Convert to fraction form
    2,930.39/4,042.80 = 1,809.38/x
  3. Step 3: Cross multiply
    2,930.39x = 4,042.80 × 1,809.38
  4. Step 4: Simplify right side
    2,930.39x = 7,314,941.25
  5. Step 5: Solve for x
    x = 7,314,941.25/2,930.39
  6. Step 6: Final answer
    x = 2,496.24

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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.