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Finding the Fourth Proportional to 1,902.28, 2,628 and 1,625.38

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Solution

The fourth proportional to 1,902.28, 2,628 and 1,625.38 is: 2,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.28 : 2,628 = 1,625.38 : x
  2. Step 2: Convert to fraction form
    1,902.28/2,628 = 1,625.38/x
  3. Step 3: Cross multiply
    1,902.28x = 2,628 × 1,625.38
  4. Step 4: Simplify right side
    1,902.28x = 4,271,498.64
  5. Step 5: Solve for x
    x = 4,271,498.64/1,902.28
  6. Step 6: Final answer
    x = 2,245.46

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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.