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Finding the Fourth Proportional to 2,008.07, 2,770.70 and 1,123.85

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Solution

The fourth proportional to 2,008.07, 2,770.70 and 1,123.85 is: 1,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.07 : 2,770.70 = 1,123.85 : x
  2. Step 2: Convert to fraction form
    2,008.07/2,770.70 = 1,123.85/x
  3. Step 3: Cross multiply
    2,008.07x = 2,770.70 × 1,123.85
  4. Step 4: Simplify right side
    2,008.07x = 3,113,831.72
  5. Step 5: Solve for x
    x = 3,113,831.72/2,008.07
  6. Step 6: Final answer
    x = 1,550.66

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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.