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Finding the Fourth Proportional to 1,226.43, 1,837.80 and 951.21

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Solution

The fourth proportional to 1,226.43, 1,837.80 and 951.21 is: 1,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.43 : 1,837.80 = 951.21 : x
  2. Step 2: Convert to fraction form
    1,226.43/1,837.80 = 951.21/x
  3. Step 3: Cross multiply
    1,226.43x = 1,837.80 × 951.21
  4. Step 4: Simplify right side
    1,226.43x = 1,748,133.74
  5. Step 5: Solve for x
    x = 1,748,133.74/1,226.43
  6. Step 6: Final answer
    x = 1,425.38

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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.