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Finding the Fourth Proportional to 2,112.90, 3,166.65 and 1,880.70

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Solution

The fourth proportional to 2,112.90, 3,166.65 and 1,880.70 is: 2,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.90 : 3,166.65 = 1,880.70 : x
  2. Step 2: Convert to fraction form
    2,112.90/3,166.65 = 1,880.70/x
  3. Step 3: Cross multiply
    2,112.90x = 3,166.65 × 1,880.70
  4. Step 4: Simplify right side
    2,112.90x = 5,955,518.66
  5. Step 5: Solve for x
    x = 5,955,518.66/2,112.90
  6. Step 6: Final answer
    x = 2,818.65

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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.