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Finding the Fourth Proportional to 1,828, 2,742.56 and 916

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Solution

The fourth proportional to 1,828, 2,742.56 and 916 is: 1,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828 : 2,742.56 = 916 : x
  2. Step 2: Convert to fraction form
    1,828/2,742.56 = 916/x
  3. Step 3: Cross multiply
    1,828x = 2,742.56 × 916
  4. Step 4: Simplify right side
    1,828x = 2,512,184.96
  5. Step 5: Solve for x
    x = 2,512,184.96/1,828
  6. Step 6: Final answer
    x = 1,374.28

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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.