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Finding the Fourth Proportional to 2,967.96, 4,453.50 and 1,325.70

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Solution

The fourth proportional to 2,967.96, 4,453.50 and 1,325.70 is: 1,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.96 : 4,453.50 = 1,325.70 : x
  2. Step 2: Convert to fraction form
    2,967.96/4,453.50 = 1,325.70/x
  3. Step 3: Cross multiply
    2,967.96x = 4,453.50 × 1,325.70
  4. Step 4: Simplify right side
    2,967.96x = 5,904,004.95
  5. Step 5: Solve for x
    x = 5,904,004.95/2,967.96
  6. Step 6: Final answer
    x = 1,989.25

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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.