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Finding the Fourth Proportional to 3,271.60, 4,516 and 2,014.34

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Solution

The fourth proportional to 3,271.60, 4,516 and 2,014.34 is: 2,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.60 : 4,516 = 2,014.34 : x
  2. Step 2: Convert to fraction form
    3,271.60/4,516 = 2,014.34/x
  3. Step 3: Cross multiply
    3,271.60x = 4,516 × 2,014.34
  4. Step 4: Simplify right side
    3,271.60x = 9,096,759.44
  5. Step 5: Solve for x
    x = 9,096,759.44/3,271.60
  6. Step 6: Final answer
    x = 2,780.52

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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.