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Finding the Fourth Proportional to 2,756.96, 3,810.06 and 2,258.81

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Solution

The fourth proportional to 2,756.96, 3,810.06 and 2,258.81 is: 3,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.96 : 3,810.06 = 2,258.81 : x
  2. Step 2: Convert to fraction form
    2,756.96/3,810.06 = 2,258.81/x
  3. Step 3: Cross multiply
    2,756.96x = 3,810.06 × 2,258.81
  4. Step 4: Simplify right side
    2,756.96x = 8,606,201.63
  5. Step 5: Solve for x
    x = 8,606,201.63/2,756.96
  6. Step 6: Final answer
    x = 3,121.63

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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.