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Finding the Fourth Proportional to 1,432.68, 2,147.94 and 969.30

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Solution

The fourth proportional to 1,432.68, 2,147.94 and 969.30 is: 1,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.68 : 2,147.94 = 969.30 : x
  2. Step 2: Convert to fraction form
    1,432.68/2,147.94 = 969.30/x
  3. Step 3: Cross multiply
    1,432.68x = 2,147.94 × 969.30
  4. Step 4: Simplify right side
    1,432.68x = 2,081,998.24
  5. Step 5: Solve for x
    x = 2,081,998.24/1,432.68
  6. Step 6: Final answer
    x = 1,453.22

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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.