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Finding the Fourth Proportional to 2,046.92, 3,068.54 and 1,316.68

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Solution

The fourth proportional to 2,046.92, 3,068.54 and 1,316.68 is: 1,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.92 : 3,068.54 = 1,316.68 : x
  2. Step 2: Convert to fraction form
    2,046.92/3,068.54 = 1,316.68/x
  3. Step 3: Cross multiply
    2,046.92x = 3,068.54 × 1,316.68
  4. Step 4: Simplify right side
    2,046.92x = 4,040,285.25
  5. Step 5: Solve for x
    x = 4,040,285.25/2,046.92
  6. Step 6: Final answer
    x = 1,973.84

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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.