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Finding the Fourth Proportional to 2,100.74, 3,147.01 and 1,544.42

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Solution

The fourth proportional to 2,100.74, 3,147.01 and 1,544.42 is: 2,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.74 : 3,147.01 = 1,544.42 : x
  2. Step 2: Convert to fraction form
    2,100.74/3,147.01 = 1,544.42/x
  3. Step 3: Cross multiply
    2,100.74x = 3,147.01 × 1,544.42
  4. Step 4: Simplify right side
    2,100.74x = 4,860,309.19
  5. Step 5: Solve for x
    x = 4,860,309.19/2,100.74
  6. Step 6: Final answer
    x = 2,313.62

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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.