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Finding the Fourth Proportional to 2,472.58, 3,412.92 and 1,425.34

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Solution

The fourth proportional to 2,472.58, 3,412.92 and 1,425.34 is: 1,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.58 : 3,412.92 = 1,425.34 : x
  2. Step 2: Convert to fraction form
    2,472.58/3,412.92 = 1,425.34/x
  3. Step 3: Cross multiply
    2,472.58x = 3,412.92 × 1,425.34
  4. Step 4: Simplify right side
    2,472.58x = 4,864,571.39
  5. Step 5: Solve for x
    x = 4,864,571.39/2,472.58
  6. Step 6: Final answer
    x = 1,967.41

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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.