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Finding the Fourth Proportional to 1,276.23, 1,914.32 and 351.78

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Solution

The fourth proportional to 1,276.23, 1,914.32 and 351.78 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.23 : 1,914.32 = 351.78 : x
  2. Step 2: Convert to fraction form
    1,276.23/1,914.32 = 351.78/x
  3. Step 3: Cross multiply
    1,276.23x = 1,914.32 × 351.78
  4. Step 4: Simplify right side
    1,276.23x = 673,419.49
  5. Step 5: Solve for x
    x = 673,419.49/1,276.23
  6. Step 6: Final answer
    x = 527.66

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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.