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Finding the Fourth Proportional to 3,237.41, 4,855.17 and 896.81

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Solution

The fourth proportional to 3,237.41, 4,855.17 and 896.81 is: 1,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.41 : 4,855.17 = 896.81 : x
  2. Step 2: Convert to fraction form
    3,237.41/4,855.17 = 896.81/x
  3. Step 3: Cross multiply
    3,237.41x = 4,855.17 × 896.81
  4. Step 4: Simplify right side
    3,237.41x = 4,354,165.01
  5. Step 5: Solve for x
    x = 4,354,165.01/3,237.41
  6. Step 6: Final answer
    x = 1,344.95

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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.