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Finding the Fourth Proportional to 3,050.75, 4,576.20 and 998.75

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Solution

The fourth proportional to 3,050.75, 4,576.20 and 998.75 is: 1,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.75 : 4,576.20 = 998.75 : x
  2. Step 2: Convert to fraction form
    3,050.75/4,576.20 = 998.75/x
  3. Step 3: Cross multiply
    3,050.75x = 4,576.20 × 998.75
  4. Step 4: Simplify right side
    3,050.75x = 4,570,479.75
  5. Step 5: Solve for x
    x = 4,570,479.75/3,050.75
  6. Step 6: Final answer
    x = 1,498.15

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Double scale
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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.