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Finding the Fourth Proportional to 1,622.03, 2,238.23 and 958.84

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Solution

The fourth proportional to 1,622.03, 2,238.23 and 958.84 is: 1,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.03 : 2,238.23 = 958.84 : x
  2. Step 2: Convert to fraction form
    1,622.03/2,238.23 = 958.84/x
  3. Step 3: Cross multiply
    1,622.03x = 2,238.23 × 958.84
  4. Step 4: Simplify right side
    1,622.03x = 2,146,101.25
  5. Step 5: Solve for x
    x = 2,146,101.25/1,622.03
  6. Step 6: Final answer
    x = 1,323.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.