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Finding the Fourth Proportional to 2,540.51, 3,810.89 and 897.23

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Solution

The fourth proportional to 2,540.51, 3,810.89 and 897.23 is: 1,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.51 : 3,810.89 = 897.23 : x
  2. Step 2: Convert to fraction form
    2,540.51/3,810.89 = 897.23/x
  3. Step 3: Cross multiply
    2,540.51x = 3,810.89 × 897.23
  4. Step 4: Simplify right side
    2,540.51x = 3,419,240.35
  5. Step 5: Solve for x
    x = 3,419,240.35/2,540.51
  6. Step 6: Final answer
    x = 1,345.89

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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.