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Finding the Fourth Proportional to 2,271.98, 3,406.07 and 1,576.60

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Solution

The fourth proportional to 2,271.98, 3,406.07 and 1,576.60 is: 2,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.98 : 3,406.07 = 1,576.60 : x
  2. Step 2: Convert to fraction form
    2,271.98/3,406.07 = 1,576.60/x
  3. Step 3: Cross multiply
    2,271.98x = 3,406.07 × 1,576.60
  4. Step 4: Simplify right side
    2,271.98x = 5,370,005.39
  5. Step 5: Solve for x
    x = 5,370,005.39/2,271.98
  6. Step 6: Final answer
    x = 2,363.58

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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.