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Finding the Fourth Proportional to 3,103.35, 4,655.16 and 1,544.10

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Solution

The fourth proportional to 3,103.35, 4,655.16 and 1,544.10 is: 2,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.35 : 4,655.16 = 1,544.10 : x
  2. Step 2: Convert to fraction form
    3,103.35/4,655.16 = 1,544.10/x
  3. Step 3: Cross multiply
    3,103.35x = 4,655.16 × 1,544.10
  4. Step 4: Simplify right side
    3,103.35x = 7,188,032.56
  5. Step 5: Solve for x
    x = 7,188,032.56/3,103.35
  6. Step 6: Final answer
    x = 2,316.22

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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.