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Finding the Fourth Proportional to 3,271.22, 4,900.26 and 1,513.76

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Solution

The fourth proportional to 3,271.22, 4,900.26 and 1,513.76 is: 2,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.22 : 4,900.26 = 1,513.76 : x
  2. Step 2: Convert to fraction form
    3,271.22/4,900.26 = 1,513.76/x
  3. Step 3: Cross multiply
    3,271.22x = 4,900.26 × 1,513.76
  4. Step 4: Simplify right side
    3,271.22x = 7,417,817.58
  5. Step 5: Solve for x
    x = 7,417,817.58/3,271.22
  6. Step 6: Final answer
    x = 2,267.60

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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.