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Finding the Fourth Proportional to 2,271.78, 3,407.94 and 811.08

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Solution

The fourth proportional to 2,271.78, 3,407.94 and 811.08 is: 1,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.78 : 3,407.94 = 811.08 : x
  2. Step 2: Convert to fraction form
    2,271.78/3,407.94 = 811.08/x
  3. Step 3: Cross multiply
    2,271.78x = 3,407.94 × 811.08
  4. Step 4: Simplify right side
    2,271.78x = 2,764,111.98
  5. Step 5: Solve for x
    x = 2,764,111.98/2,271.78
  6. Step 6: Final answer
    x = 1,216.72

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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.