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Finding the Fourth Proportional to 2,577.75, 3,557.83 and 1,458.75

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Solution

The fourth proportional to 2,577.75, 3,557.83 and 1,458.75 is: 2,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.75 : 3,557.83 = 1,458.75 : x
  2. Step 2: Convert to fraction form
    2,577.75/3,557.83 = 1,458.75/x
  3. Step 3: Cross multiply
    2,577.75x = 3,557.83 × 1,458.75
  4. Step 4: Simplify right side
    2,577.75x = 5,189,977.22
  5. Step 5: Solve for x
    x = 5,189,977.22/2,577.75
  6. Step 6: Final answer
    x = 2,013.37

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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.