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Finding the Fourth Proportional to 3,102.68, 4,655.60 and 2,063.39

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Solution

The fourth proportional to 3,102.68, 4,655.60 and 2,063.39 is: 3,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.68 : 4,655.60 = 2,063.39 : x
  2. Step 2: Convert to fraction form
    3,102.68/4,655.60 = 2,063.39/x
  3. Step 3: Cross multiply
    3,102.68x = 4,655.60 × 2,063.39
  4. Step 4: Simplify right side
    3,102.68x = 9,606,284.89
  5. Step 5: Solve for x
    x = 9,606,284.89/3,102.68
  6. Step 6: Final answer
    x = 3,096.13

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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.