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Finding the Fourth Proportional to 2,540.96, 3,810.75 and 897.29

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Solution

The fourth proportional to 2,540.96, 3,810.75 and 897.29 is: 1,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.96 : 3,810.75 = 897.29 : x
  2. Step 2: Convert to fraction form
    2,540.96/3,810.75 = 897.29/x
  3. Step 3: Cross multiply
    2,540.96x = 3,810.75 × 897.29
  4. Step 4: Simplify right side
    2,540.96x = 3,419,326.57
  5. Step 5: Solve for x
    x = 3,419,326.57/2,540.96
  6. Step 6: Final answer
    x = 1,345.69

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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.