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Finding the Fourth Proportional to 2,658.70, 3,986.59 and 1,272.39

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Solution

The fourth proportional to 2,658.70, 3,986.59 and 1,272.39 is: 1,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.70 : 3,986.59 = 1,272.39 : x
  2. Step 2: Convert to fraction form
    2,658.70/3,986.59 = 1,272.39/x
  3. Step 3: Cross multiply
    2,658.70x = 3,986.59 × 1,272.39
  4. Step 4: Simplify right side
    2,658.70x = 5,072,497.25
  5. Step 5: Solve for x
    x = 5,072,497.25/2,658.70
  6. Step 6: Final answer
    x = 1,907.89

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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.