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Finding the Fourth Proportional to 2,576.40, 3,864.60 and 628.62

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Solution

The fourth proportional to 2,576.40, 3,864.60 and 628.62 is: 942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.40 : 3,864.60 = 628.62 : x
  2. Step 2: Convert to fraction form
    2,576.40/3,864.60 = 628.62/x
  3. Step 3: Cross multiply
    2,576.40x = 3,864.60 × 628.62
  4. Step 4: Simplify right side
    2,576.40x = 2,429,364.85
  5. Step 5: Solve for x
    x = 2,429,364.85/2,576.40
  6. Step 6: Final answer
    x = 942.93

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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.