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Finding the Fourth Proportional to 2,567.51, 3,543.41 and 1,519.73

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Solution

The fourth proportional to 2,567.51, 3,543.41 and 1,519.73 is: 2,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.51 : 3,543.41 = 1,519.73 : x
  2. Step 2: Convert to fraction form
    2,567.51/3,543.41 = 1,519.73/x
  3. Step 3: Cross multiply
    2,567.51x = 3,543.41 × 1,519.73
  4. Step 4: Simplify right side
    2,567.51x = 5,385,018.88
  5. Step 5: Solve for x
    x = 5,385,018.88/2,567.51
  6. Step 6: Final answer
    x = 2,097.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.