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Finding the Fourth Proportional to 2,540.02, 3,810.04 and 1,078.14

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Solution

The fourth proportional to 2,540.02, 3,810.04 and 1,078.14 is: 1,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.02 : 3,810.04 = 1,078.14 : x
  2. Step 2: Convert to fraction form
    2,540.02/3,810.04 = 1,078.14/x
  3. Step 3: Cross multiply
    2,540.02x = 3,810.04 × 1,078.14
  4. Step 4: Simplify right side
    2,540.02x = 4,107,756.53
  5. Step 5: Solve for x
    x = 4,107,756.53/2,540.02
  6. Step 6: Final answer
    x = 1,617.21

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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.