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Finding the Fourth Proportional to 2,539.13, 3,810.29 and 1,078.29

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Solution

The fourth proportional to 2,539.13, 3,810.29 and 1,078.29 is: 1,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.13 : 3,810.29 = 1,078.29 : x
  2. Step 2: Convert to fraction form
    2,539.13/3,810.29 = 1,078.29/x
  3. Step 3: Cross multiply
    2,539.13x = 3,810.29 × 1,078.29
  4. Step 4: Simplify right side
    2,539.13x = 4,108,592.21
  5. Step 5: Solve for x
    x = 4,108,592.21/2,539.13
  6. Step 6: Final answer
    x = 1,618.11

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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.