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Finding the Fourth Proportional to 2,744.01, 4,114.71 and 1,011.42

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Solution

The fourth proportional to 2,744.01, 4,114.71 and 1,011.42 is: 1,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.01 : 4,114.71 = 1,011.42 : x
  2. Step 2: Convert to fraction form
    2,744.01/4,114.71 = 1,011.42/x
  3. Step 3: Cross multiply
    2,744.01x = 4,114.71 × 1,011.42
  4. Step 4: Simplify right side
    2,744.01x = 4,161,699.99
  5. Step 5: Solve for x
    x = 4,161,699.99/2,744.01
  6. Step 6: Final answer
    x = 1,516.65

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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.