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Finding the Fourth Proportional to 2,658.34, 3,986.01 and 1,272.01

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Solution

The fourth proportional to 2,658.34, 3,986.01 and 1,272.01 is: 1,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.34 : 3,986.01 = 1,272.01 : x
  2. Step 2: Convert to fraction form
    2,658.34/3,986.01 = 1,272.01/x
  3. Step 3: Cross multiply
    2,658.34x = 3,986.01 × 1,272.01
  4. Step 4: Simplify right side
    2,658.34x = 5,070,244.58
  5. Step 5: Solve for x
    x = 5,070,244.58/2,658.34
  6. Step 6: Final answer
    x = 1,907.30

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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.