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Finding the Fourth Proportional to 4,654.56, 6,982.19 and 1,322.74

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Solution

The fourth proportional to 4,654.56, 6,982.19 and 1,322.74 is: 1,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.56 : 6,982.19 = 1,322.74 : x
  2. Step 2: Convert to fraction form
    4,654.56/6,982.19 = 1,322.74/x
  3. Step 3: Cross multiply
    4,654.56x = 6,982.19 × 1,322.74
  4. Step 4: Simplify right side
    4,654.56x = 9,235,622.00
  5. Step 5: Solve for x
    x = 9,235,622.00/4,654.56
  6. Step 6: Final answer
    x = 1,984.21

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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.