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Finding the Fourth Proportional to 2,462.77, 3,395.50 and 1,577.08

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Solution

The fourth proportional to 2,462.77, 3,395.50 and 1,577.08 is: 2,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.77 : 3,395.50 = 1,577.08 : x
  2. Step 2: Convert to fraction form
    2,462.77/3,395.50 = 1,577.08/x
  3. Step 3: Cross multiply
    2,462.77x = 3,395.50 × 1,577.08
  4. Step 4: Simplify right side
    2,462.77x = 5,354,975.14
  5. Step 5: Solve for x
    x = 5,354,975.14/2,462.77
  6. Step 6: Final answer
    x = 2,174.37

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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.