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Finding the Fourth Proportional to 2,068.87, 3,106.05 and 1,980.94

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Solution

The fourth proportional to 2,068.87, 3,106.05 and 1,980.94 is: 2,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.87 : 3,106.05 = 1,980.94 : x
  2. Step 2: Convert to fraction form
    2,068.87/3,106.05 = 1,980.94/x
  3. Step 3: Cross multiply
    2,068.87x = 3,106.05 × 1,980.94
  4. Step 4: Simplify right side
    2,068.87x = 6,152,873.25
  5. Step 5: Solve for x
    x = 6,152,873.25/2,068.87
  6. Step 6: Final answer
    x = 2,974.03

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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.