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Finding the Fourth Proportional to 3,007.44, 4,506.30 and 2,137.50

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Solution

The fourth proportional to 3,007.44, 4,506.30 and 2,137.50 is: 3,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.44 : 4,506.30 = 2,137.50 : x
  2. Step 2: Convert to fraction form
    3,007.44/4,506.30 = 2,137.50/x
  3. Step 3: Cross multiply
    3,007.44x = 4,506.30 × 2,137.50
  4. Step 4: Simplify right side
    3,007.44x = 9,632,216.25
  5. Step 5: Solve for x
    x = 9,632,216.25/3,007.44
  6. Step 6: Final answer
    x = 3,202.80

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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.