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Finding the Fourth Proportional to 2,765.70, 3,818.70 and 1,881.18

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Solution

The fourth proportional to 2,765.70, 3,818.70 and 1,881.18 is: 2,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.70 : 3,818.70 = 1,881.18 : x
  2. Step 2: Convert to fraction form
    2,765.70/3,818.70 = 1,881.18/x
  3. Step 3: Cross multiply
    2,765.70x = 3,818.70 × 1,881.18
  4. Step 4: Simplify right side
    2,765.70x = 7,183,662.07
  5. Step 5: Solve for x
    x = 7,183,662.07/2,765.70
  6. Step 6: Final answer
    x = 2,597.41

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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.