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Finding the Fourth Proportional to 1,461.82, 2,192.76 and 421.90

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Solution

The fourth proportional to 1,461.82, 2,192.76 and 421.90 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.82 : 2,192.76 = 421.90 : x
  2. Step 2: Convert to fraction form
    1,461.82/2,192.76 = 421.90/x
  3. Step 3: Cross multiply
    1,461.82x = 2,192.76 × 421.90
  4. Step 4: Simplify right side
    1,461.82x = 925,125.44
  5. Step 5: Solve for x
    x = 925,125.44/1,461.82
  6. Step 6: Final answer
    x = 632.86

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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.