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Finding the Fourth Proportional to 2,575.36, 3,859.84 and 1,340.80

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Solution

The fourth proportional to 2,575.36, 3,859.84 and 1,340.80 is: 2,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.36 : 3,859.84 = 1,340.80 : x
  2. Step 2: Convert to fraction form
    2,575.36/3,859.84 = 1,340.80/x
  3. Step 3: Cross multiply
    2,575.36x = 3,859.84 × 1,340.80
  4. Step 4: Simplify right side
    2,575.36x = 5,175,273.47
  5. Step 5: Solve for x
    x = 5,175,273.47/2,575.36
  6. Step 6: Final answer
    x = 2,009.53

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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.