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Finding the Fourth Proportional to 2,716.47, 3,749.00 and 1,654.16

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Solution

The fourth proportional to 2,716.47, 3,749.00 and 1,654.16 is: 2,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.47 : 3,749.00 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    2,716.47/3,749.00 = 1,654.16/x
  3. Step 3: Cross multiply
    2,716.47x = 3,749.00 × 1,654.16
  4. Step 4: Simplify right side
    2,716.47x = 6,201,418.82
  5. Step 5: Solve for x
    x = 6,201,418.82/2,716.47
  6. Step 6: Final answer
    x = 2,282.90

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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.