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Finding the Fourth Proportional to 4,654, 6,982.26 and 1,576

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Solution

The fourth proportional to 4,654, 6,982.26 and 1,576 is: 2,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654 : 6,982.26 = 1,576 : x
  2. Step 2: Convert to fraction form
    4,654/6,982.26 = 1,576/x
  3. Step 3: Cross multiply
    4,654x = 6,982.26 × 1,576
  4. Step 4: Simplify right side
    4,654x = 11,004,041.76
  5. Step 5: Solve for x
    x = 11,004,041.76/4,654
  6. Step 6: Final answer
    x = 2,364.43

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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.