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Finding the Fourth Proportional to 2,114.78, 2,918.41 and 1,170.54

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Solution

The fourth proportional to 2,114.78, 2,918.41 and 1,170.54 is: 1,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.78 : 2,918.41 = 1,170.54 : x
  2. Step 2: Convert to fraction form
    2,114.78/2,918.41 = 1,170.54/x
  3. Step 3: Cross multiply
    2,114.78x = 2,918.41 × 1,170.54
  4. Step 4: Simplify right side
    2,114.78x = 3,416,112.72
  5. Step 5: Solve for x
    x = 3,416,112.72/2,114.78
  6. Step 6: Final answer
    x = 1,615.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.