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Finding the Fourth Proportional to 1,622.14, 2,434.02 and 650.14

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Solution

The fourth proportional to 1,622.14, 2,434.02 and 650.14 is: 975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.14 : 2,434.02 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,622.14/2,434.02 = 650.14/x
  3. Step 3: Cross multiply
    1,622.14x = 2,434.02 × 650.14
  4. Step 4: Simplify right side
    1,622.14x = 1,582,453.76
  5. Step 5: Solve for x
    x = 1,582,453.76/1,622.14
  6. Step 6: Final answer
    x = 975.53

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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.