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Finding the Fourth Proportional to 1,917.72, 2,876.46 and 942.96

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Solution

The fourth proportional to 1,917.72, 2,876.46 and 942.96 is: 1,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.72 : 2,876.46 = 942.96 : x
  2. Step 2: Convert to fraction form
    1,917.72/2,876.46 = 942.96/x
  3. Step 3: Cross multiply
    1,917.72x = 2,876.46 × 942.96
  4. Step 4: Simplify right side
    1,917.72x = 2,712,386.72
  5. Step 5: Solve for x
    x = 2,712,386.72/1,917.72
  6. Step 6: Final answer
    x = 1,414.38

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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.