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Finding the Fourth Proportional to 1,451.38, 2,172.93 and 963.46

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Solution

The fourth proportional to 1,451.38, 2,172.93 and 963.46 is: 1,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.38 : 2,172.93 = 963.46 : x
  2. Step 2: Convert to fraction form
    1,451.38/2,172.93 = 963.46/x
  3. Step 3: Cross multiply
    1,451.38x = 2,172.93 × 963.46
  4. Step 4: Simplify right side
    1,451.38x = 2,093,531.14
  5. Step 5: Solve for x
    x = 2,093,531.14/1,451.38
  6. Step 6: Final answer
    x = 1,442.44

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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.