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Finding the Fourth Proportional to 2,540.02, 3,810.11 and 897.70

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Solution

The fourth proportional to 2,540.02, 3,810.11 and 897.70 is: 1,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.02 : 3,810.11 = 897.70 : x
  2. Step 2: Convert to fraction form
    2,540.02/3,810.11 = 897.70/x
  3. Step 3: Cross multiply
    2,540.02x = 3,810.11 × 897.70
  4. Step 4: Simplify right side
    2,540.02x = 3,420,335.75
  5. Step 5: Solve for x
    x = 3,420,335.75/2,540.02
  6. Step 6: Final answer
    x = 1,346.58

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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.