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Finding the Fourth Proportional to 3,460.43, 4,775.65 and 1,968.49

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Solution

The fourth proportional to 3,460.43, 4,775.65 and 1,968.49 is: 2,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.43 : 4,775.65 = 1,968.49 : x
  2. Step 2: Convert to fraction form
    3,460.43/4,775.65 = 1,968.49/x
  3. Step 3: Cross multiply
    3,460.43x = 4,775.65 × 1,968.49
  4. Step 4: Simplify right side
    3,460.43x = 9,400,804.53
  5. Step 5: Solve for x
    x = 9,400,804.53/3,460.43
  6. Step 6: Final answer
    x = 2,716.66

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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.