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Finding the Fourth Proportional to 2,427.99, 3,351 and 1,544.07

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Solution

The fourth proportional to 2,427.99, 3,351 and 1,544.07 is: 2,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.99 : 3,351 = 1,544.07 : x
  2. Step 2: Convert to fraction form
    2,427.99/3,351 = 1,544.07/x
  3. Step 3: Cross multiply
    2,427.99x = 3,351 × 1,544.07
  4. Step 4: Simplify right side
    2,427.99x = 5,174,178.57
  5. Step 5: Solve for x
    x = 5,174,178.57/2,427.99
  6. Step 6: Final answer
    x = 2,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.