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Finding the Fourth Proportional to 2,394.28, 3,591.01 and 662.50

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Solution

The fourth proportional to 2,394.28, 3,591.01 and 662.50 is: 993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.28 : 3,591.01 = 662.50 : x
  2. Step 2: Convert to fraction form
    2,394.28/3,591.01 = 662.50/x
  3. Step 3: Cross multiply
    2,394.28x = 3,591.01 × 662.50
  4. Step 4: Simplify right side
    2,394.28x = 2,379,044.13
  5. Step 5: Solve for x
    x = 2,379,044.13/2,394.28
  6. Step 6: Final answer
    x = 993.64

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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.