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Finding the Fourth Proportional to 2,271.82, 3,406.45 and 790.36

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Solution

The fourth proportional to 2,271.82, 3,406.45 and 790.36 is: 1,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.82 : 3,406.45 = 790.36 : x
  2. Step 2: Convert to fraction form
    2,271.82/3,406.45 = 790.36/x
  3. Step 3: Cross multiply
    2,271.82x = 3,406.45 × 790.36
  4. Step 4: Simplify right side
    2,271.82x = 2,692,321.82
  5. Step 5: Solve for x
    x = 2,692,321.82/2,271.82
  6. Step 6: Final answer
    x = 1,185.09

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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.