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Finding the Fourth Proportional to 3,162.67, 4,746.74 and 2,068.36

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Solution

The fourth proportional to 3,162.67, 4,746.74 and 2,068.36 is: 3,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.67 : 4,746.74 = 2,068.36 : x
  2. Step 2: Convert to fraction form
    3,162.67/4,746.74 = 2,068.36/x
  3. Step 3: Cross multiply
    3,162.67x = 4,746.74 × 2,068.36
  4. Step 4: Simplify right side
    3,162.67x = 9,817,944.94
  5. Step 5: Solve for x
    x = 9,817,944.94/3,162.67
  6. Step 6: Final answer
    x = 3,104.32

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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.