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Finding the Fourth Proportional to 1,940, 2,677.74 and 1,319

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Solution

The fourth proportional to 1,940, 2,677.74 and 1,319 is: 1,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940 : 2,677.74 = 1,319 : x
  2. Step 2: Convert to fraction form
    1,940/2,677.74 = 1,319/x
  3. Step 3: Cross multiply
    1,940x = 2,677.74 × 1,319
  4. Step 4: Simplify right side
    1,940x = 3,531,939.06
  5. Step 5: Solve for x
    x = 3,531,939.06/1,940
  6. Step 6: Final answer
    x = 1,820.59

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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.