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Finding the Fourth Proportional to 1,276, 1,914.48 and 1,169.44

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Solution

The fourth proportional to 1,276, 1,914.48 and 1,169.44 is: 1,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276 : 1,914.48 = 1,169.44 : x
  2. Step 2: Convert to fraction form
    1,276/1,914.48 = 1,169.44/x
  3. Step 3: Cross multiply
    1,276x = 1,914.48 × 1,169.44
  4. Step 4: Simplify right side
    1,276x = 2,238,869.49
  5. Step 5: Solve for x
    x = 2,238,869.49/1,276
  6. Step 6: Final answer
    x = 1,754.60

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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.