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Finding the Fourth Proportional to 2,007.39, 2,770.32 and 1,123.17

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Solution

The fourth proportional to 2,007.39, 2,770.32 and 1,123.17 is: 1,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.39 : 2,770.32 = 1,123.17 : x
  2. Step 2: Convert to fraction form
    2,007.39/2,770.32 = 1,123.17/x
  3. Step 3: Cross multiply
    2,007.39x = 2,770.32 × 1,123.17
  4. Step 4: Simplify right side
    2,007.39x = 3,111,539.57
  5. Step 5: Solve for x
    x = 3,111,539.57/2,007.39
  6. Step 6: Final answer
    x = 1,550.04

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Why These Related Problems?

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