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Finding the Fourth Proportional to 1,460.38, 2,190.24 and 420.38

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Solution

The fourth proportional to 1,460.38, 2,190.24 and 420.38 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.38 : 2,190.24 = 420.38 : x
  2. Step 2: Convert to fraction form
    1,460.38/2,190.24 = 420.38/x
  3. Step 3: Cross multiply
    1,460.38x = 2,190.24 × 420.38
  4. Step 4: Simplify right side
    1,460.38x = 920,733.09
  5. Step 5: Solve for x
    x = 920,733.09/1,460.38
  6. Step 6: Final answer
    x = 630.48

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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.