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Finding the Fourth Proportional to 2,271.24, 3,406.86 and 711.18

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Solution

The fourth proportional to 2,271.24, 3,406.86 and 711.18 is: 1,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.24 : 3,406.86 = 711.18 : x
  2. Step 2: Convert to fraction form
    2,271.24/3,406.86 = 711.18/x
  3. Step 3: Cross multiply
    2,271.24x = 3,406.86 × 711.18
  4. Step 4: Simplify right side
    2,271.24x = 2,422,890.69
  5. Step 5: Solve for x
    x = 2,422,890.69/2,271.24
  6. Step 6: Final answer
    x = 1,066.77

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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.