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Finding the Fourth Proportional to 2,202.50, 3,039.72 and 1,271

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Solution

The fourth proportional to 2,202.50, 3,039.72 and 1,271 is: 1,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.50 : 3,039.72 = 1,271 : x
  2. Step 2: Convert to fraction form
    2,202.50/3,039.72 = 1,271/x
  3. Step 3: Cross multiply
    2,202.50x = 3,039.72 × 1,271
  4. Step 4: Simplify right side
    2,202.50x = 3,863,484.12
  5. Step 5: Solve for x
    x = 3,863,484.12/2,202.50
  6. Step 6: Final answer
    x = 1,754.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.