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Finding the Fourth Proportional to 2,007.98, 2,770.72 and 1,123.76

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Solution

The fourth proportional to 2,007.98, 2,770.72 and 1,123.76 is: 1,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.98 : 2,770.72 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    2,007.98/2,770.72 = 1,123.76/x
  3. Step 3: Cross multiply
    2,007.98x = 2,770.72 × 1,123.76
  4. Step 4: Simplify right side
    2,007.98x = 3,113,624.31
  5. Step 5: Solve for x
    x = 3,113,624.31/2,007.98
  6. Step 6: Final answer
    x = 1,550.63

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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.