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Finding the Fourth Proportional to 3,129.96, 4,696.14 and 1,671.96

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Solution

The fourth proportional to 3,129.96, 4,696.14 and 1,671.96 is: 2,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.96 : 4,696.14 = 1,671.96 : x
  2. Step 2: Convert to fraction form
    3,129.96/4,696.14 = 1,671.96/x
  3. Step 3: Cross multiply
    3,129.96x = 4,696.14 × 1,671.96
  4. Step 4: Simplify right side
    3,129.96x = 7,851,758.23
  5. Step 5: Solve for x
    x = 7,851,758.23/3,129.96
  6. Step 6: Final answer
    x = 2,508.58

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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.