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Finding the Fourth Proportional to 2,012.79, 2,780.46 and 1,907.70

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Solution

The fourth proportional to 2,012.79, 2,780.46 and 1,907.70 is: 2,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.79 : 2,780.46 = 1,907.70 : x
  2. Step 2: Convert to fraction form
    2,012.79/2,780.46 = 1,907.70/x
  3. Step 3: Cross multiply
    2,012.79x = 2,780.46 × 1,907.70
  4. Step 4: Simplify right side
    2,012.79x = 5,304,283.54
  5. Step 5: Solve for x
    x = 5,304,283.54/2,012.79
  6. Step 6: Final answer
    x = 2,635.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.