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Finding the Fourth Proportional to 3,458, 4,771.48 and 1,965.60

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Solution

The fourth proportional to 3,458, 4,771.48 and 1,965.60 is: 2,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458 : 4,771.48 = 1,965.60 : x
  2. Step 2: Convert to fraction form
    3,458/4,771.48 = 1,965.60/x
  3. Step 3: Cross multiply
    3,458x = 4,771.48 × 1,965.60
  4. Step 4: Simplify right side
    3,458x = 9,378,821.09
  5. Step 5: Solve for x
    x = 9,378,821.09/3,458
  6. Step 6: Final answer
    x = 2,712.21

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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.