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Finding the Fourth Proportional to 3,271.03, 4,907.09 and 1,191.14

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Solution

The fourth proportional to 3,271.03, 4,907.09 and 1,191.14 is: 1,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.03 : 4,907.09 = 1,191.14 : x
  2. Step 2: Convert to fraction form
    3,271.03/4,907.09 = 1,191.14/x
  3. Step 3: Cross multiply
    3,271.03x = 4,907.09 × 1,191.14
  4. Step 4: Simplify right side
    3,271.03x = 5,845,031.18
  5. Step 5: Solve for x
    x = 5,845,031.18/3,271.03
  6. Step 6: Final answer
    x = 1,786.91

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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.