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Finding the Fourth Proportional to 3,146.62, 4,716.74 and 1,296.48

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Solution

The fourth proportional to 3,146.62, 4,716.74 and 1,296.48 is: 1,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.62 : 4,716.74 = 1,296.48 : x
  2. Step 2: Convert to fraction form
    3,146.62/4,716.74 = 1,296.48/x
  3. Step 3: Cross multiply
    3,146.62x = 4,716.74 × 1,296.48
  4. Step 4: Simplify right side
    3,146.62x = 6,115,129.01
  5. Step 5: Solve for x
    x = 6,115,129.01/3,146.62
  6. Step 6: Final answer
    x = 1,943.40

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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.