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Finding the Fourth Proportional to 3,028.41, 4,542.45 and 837.15

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Solution

The fourth proportional to 3,028.41, 4,542.45 and 837.15 is: 1,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.41 : 4,542.45 = 837.15 : x
  2. Step 2: Convert to fraction form
    3,028.41/4,542.45 = 837.15/x
  3. Step 3: Cross multiply
    3,028.41x = 4,542.45 × 837.15
  4. Step 4: Simplify right side
    3,028.41x = 3,802,712.02
  5. Step 5: Solve for x
    x = 3,802,712.02/3,028.41
  6. Step 6: Final answer
    x = 1,255.68

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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.