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Finding the Fourth Proportional to 2,549.94, 3,832.14 and 1,510.14

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Solution

The fourth proportional to 2,549.94, 3,832.14 and 1,510.14 is: 2,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.94 : 3,832.14 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    2,549.94/3,832.14 = 1,510.14/x
  3. Step 3: Cross multiply
    2,549.94x = 3,832.14 × 1,510.14
  4. Step 4: Simplify right side
    2,549.94x = 5,787,067.90
  5. Step 5: Solve for x
    x = 5,787,067.90/2,549.94
  6. Step 6: Final answer
    x = 2,269.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.