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Finding the Fourth Proportional to 2,007.57, 2,770.59 and 1,123.46

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Solution

The fourth proportional to 2,007.57, 2,770.59 and 1,123.46 is: 1,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.57 : 2,770.59 = 1,123.46 : x
  2. Step 2: Convert to fraction form
    2,007.57/2,770.59 = 1,123.46/x
  3. Step 3: Cross multiply
    2,007.57x = 2,770.59 × 1,123.46
  4. Step 4: Simplify right side
    2,007.57x = 3,112,627.57
  5. Step 5: Solve for x
    x = 3,112,627.57/2,007.57
  6. Step 6: Final answer
    x = 1,550.45

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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.