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Finding the Fourth Proportional to 2,006.98, 2,770.90 and 1,378.56

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Solution

The fourth proportional to 2,006.98, 2,770.90 and 1,378.56 is: 1,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.98 : 2,770.90 = 1,378.56 : x
  2. Step 2: Convert to fraction form
    2,006.98/2,770.90 = 1,378.56/x
  3. Step 3: Cross multiply
    2,006.98x = 2,770.90 × 1,378.56
  4. Step 4: Simplify right side
    2,006.98x = 3,819,851.90
  5. Step 5: Solve for x
    x = 3,819,851.90/2,006.98
  6. Step 6: Final answer
    x = 1,903.28

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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.