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Finding the Fourth Proportional to 2,174.60, 3,256.08 and 1,146.44

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Solution

The fourth proportional to 2,174.60, 3,256.08 and 1,146.44 is: 1,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.60 : 3,256.08 = 1,146.44 : x
  2. Step 2: Convert to fraction form
    2,174.60/3,256.08 = 1,146.44/x
  3. Step 3: Cross multiply
    2,174.60x = 3,256.08 × 1,146.44
  4. Step 4: Simplify right side
    2,174.60x = 3,732,900.36
  5. Step 5: Solve for x
    x = 3,732,900.36/2,174.60
  6. Step 6: Final answer
    x = 1,716.59

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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.