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Finding the Fourth Proportional to 3,256.16, 4,493.46 and 1,764.06

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Solution

The fourth proportional to 3,256.16, 4,493.46 and 1,764.06 is: 2,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.16 : 4,493.46 = 1,764.06 : x
  2. Step 2: Convert to fraction form
    3,256.16/4,493.46 = 1,764.06/x
  3. Step 3: Cross multiply
    3,256.16x = 4,493.46 × 1,764.06
  4. Step 4: Simplify right side
    3,256.16x = 7,926,733.05
  5. Step 5: Solve for x
    x = 7,926,733.05/3,256.16
  6. Step 6: Final answer
    x = 2,434.38

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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.