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Finding the Fourth Proportional to 3,456.47, 4,770.09 and 1,964.45

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Solution

The fourth proportional to 3,456.47, 4,770.09 and 1,964.45 is: 2,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.47 : 4,770.09 = 1,964.45 : x
  2. Step 2: Convert to fraction form
    3,456.47/4,770.09 = 1,964.45/x
  3. Step 3: Cross multiply
    3,456.47x = 4,770.09 × 1,964.45
  4. Step 4: Simplify right side
    3,456.47x = 9,370,615.23
  5. Step 5: Solve for x
    x = 9,370,615.23/3,456.47
  6. Step 6: Final answer
    x = 2,711.03

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1.5x scale

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.