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Finding the Fourth Proportional to 3,148.94, 4,723.50 and 957.80

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Solution

The fourth proportional to 3,148.94, 4,723.50 and 957.80 is: 1,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.94 : 4,723.50 = 957.80 : x
  2. Step 2: Convert to fraction form
    3,148.94/4,723.50 = 957.80/x
  3. Step 3: Cross multiply
    3,148.94x = 4,723.50 × 957.80
  4. Step 4: Simplify right side
    3,148.94x = 4,524,168.30
  5. Step 5: Solve for x
    x = 4,524,168.30/3,148.94
  6. Step 6: Final answer
    x = 1,436.73

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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.