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Finding the Fourth Proportional to 2,007.60, 2,770.46 and 1,123.40

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Solution

The fourth proportional to 2,007.60, 2,770.46 and 1,123.40 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.60 : 2,770.46 = 1,123.40 : x
  2. Step 2: Convert to fraction form
    2,007.60/2,770.46 = 1,123.40/x
  3. Step 3: Cross multiply
    2,007.60x = 2,770.46 × 1,123.40
  4. Step 4: Simplify right side
    2,007.60x = 3,112,334.76
  5. Step 5: Solve for x
    x = 3,112,334.76/2,007.60
  6. Step 6: Final answer
    x = 1,550.28

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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.