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Finding the Fourth Proportional to 3,028.96, 4,543.44 and 837.69

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Solution

The fourth proportional to 3,028.96, 4,543.44 and 837.69 is: 1,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.96 : 4,543.44 = 837.69 : x
  2. Step 2: Convert to fraction form
    3,028.96/4,543.44 = 837.69/x
  3. Step 3: Cross multiply
    3,028.96x = 4,543.44 × 837.69
  4. Step 4: Simplify right side
    3,028.96x = 3,805,997.39
  5. Step 5: Solve for x
    x = 3,805,997.39/3,028.96
  6. Step 6: Final answer
    x = 1,256.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.