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Finding the Fourth Proportional to 2,540.39, 3,803.28 and 1,877.81

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Solution

The fourth proportional to 2,540.39, 3,803.28 and 1,877.81 is: 2,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.39 : 3,803.28 = 1,877.81 : x
  2. Step 2: Convert to fraction form
    2,540.39/3,803.28 = 1,877.81/x
  3. Step 3: Cross multiply
    2,540.39x = 3,803.28 × 1,877.81
  4. Step 4: Simplify right side
    2,540.39x = 7,141,837.22
  5. Step 5: Solve for x
    x = 7,141,837.22/2,540.39
  6. Step 6: Final answer
    x = 2,811.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.