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Finding the Fourth Proportional to 2,539.64, 3,810 and 1,078.80

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Solution

The fourth proportional to 2,539.64, 3,810 and 1,078.80 is: 1,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.64 : 3,810 = 1,078.80 : x
  2. Step 2: Convert to fraction form
    2,539.64/3,810 = 1,078.80/x
  3. Step 3: Cross multiply
    2,539.64x = 3,810 × 1,078.80
  4. Step 4: Simplify right side
    2,539.64x = 4,110,228
  5. Step 5: Solve for x
    x = 4,110,228/2,539.64
  6. Step 6: Final answer
    x = 1,618.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.