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Finding the Fourth Proportional to 2,957.49, 4,081.55 and 1,698.75

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Solution

The fourth proportional to 2,957.49, 4,081.55 and 1,698.75 is: 2,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.49 : 4,081.55 = 1,698.75 : x
  2. Step 2: Convert to fraction form
    2,957.49/4,081.55 = 1,698.75/x
  3. Step 3: Cross multiply
    2,957.49x = 4,081.55 × 1,698.75
  4. Step 4: Simplify right side
    2,957.49x = 6,933,524.57
  5. Step 5: Solve for x
    x = 6,933,524.57/2,957.49
  6. Step 6: Final answer
    x = 2,344.39

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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.