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Finding the Fourth Proportional to 2,846.46, 4,243.02 and 2,532.54

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Solution

The fourth proportional to 2,846.46, 4,243.02 and 2,532.54 is: 3,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.46 : 4,243.02 = 2,532.54 : x
  2. Step 2: Convert to fraction form
    2,846.46/4,243.02 = 2,532.54/x
  3. Step 3: Cross multiply
    2,846.46x = 4,243.02 × 2,532.54
  4. Step 4: Simplify right side
    2,846.46x = 10,745,617.87
  5. Step 5: Solve for x
    x = 10,745,617.87/2,846.46
  6. Step 6: Final answer
    x = 3,775.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.