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Finding the Fourth Proportional to 2,656.70, 3,987.57 and 1,270.79

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Solution

The fourth proportional to 2,656.70, 3,987.57 and 1,270.79 is: 1,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.70 : 3,987.57 = 1,270.79 : x
  2. Step 2: Convert to fraction form
    2,656.70/3,987.57 = 1,270.79/x
  3. Step 3: Cross multiply
    2,656.70x = 3,987.57 × 1,270.79
  4. Step 4: Simplify right side
    2,656.70x = 5,067,344.14
  5. Step 5: Solve for x
    x = 5,067,344.14/2,656.70
  6. Step 6: Final answer
    x = 1,907.39

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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.