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Finding the Fourth Proportional to 1,460.73, 2,190.55 and 420.38

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Solution

The fourth proportional to 1,460.73, 2,190.55 and 420.38 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.73 : 2,190.55 = 420.38 : x
  2. Step 2: Convert to fraction form
    1,460.73/2,190.55 = 420.38/x
  3. Step 3: Cross multiply
    1,460.73x = 2,190.55 × 420.38
  4. Step 4: Simplify right side
    1,460.73x = 920,859.61
  5. Step 5: Solve for x
    x = 920,859.61/1,460.73
  6. Step 6: Final answer
    x = 630.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.