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Finding the Fourth Proportional to 2,271.26, 3,406.95 and 971.88

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Solution

The fourth proportional to 2,271.26, 3,406.95 and 971.88 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.26 : 3,406.95 = 971.88 : x
  2. Step 2: Convert to fraction form
    2,271.26/3,406.95 = 971.88/x
  3. Step 3: Cross multiply
    2,271.26x = 3,406.95 × 971.88
  4. Step 4: Simplify right side
    2,271.26x = 3,311,146.57
  5. Step 5: Solve for x
    x = 3,311,146.57/2,271.26
  6. Step 6: Final answer
    x = 1,457.85

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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.