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Finding the Fourth Proportional to 3,271.30, 4,516.95 and 2,012.95

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Solution

The fourth proportional to 3,271.30, 4,516.95 and 2,012.95 is: 2,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.30 : 4,516.95 = 2,012.95 : x
  2. Step 2: Convert to fraction form
    3,271.30/4,516.95 = 2,012.95/x
  3. Step 3: Cross multiply
    3,271.30x = 4,516.95 × 2,012.95
  4. Step 4: Simplify right side
    3,271.30x = 9,092,394.50
  5. Step 5: Solve for x
    x = 9,092,394.50/3,271.30
  6. Step 6: Final answer
    x = 2,779.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.