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Finding the Fourth Proportional to 2,662.69, 3,987.88 and 2,570.42

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Solution

The fourth proportional to 2,662.69, 3,987.88 and 2,570.42 is: 3,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.69 : 3,987.88 = 2,570.42 : x
  2. Step 2: Convert to fraction form
    2,662.69/3,987.88 = 2,570.42/x
  3. Step 3: Cross multiply
    2,662.69x = 3,987.88 × 2,570.42
  4. Step 4: Simplify right side
    2,662.69x = 10,250,513.66
  5. Step 5: Solve for x
    x = 10,250,513.66/2,662.69
  6. Step 6: Final answer
    x = 3,849.69

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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.