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Finding the Fourth Proportional to 2,592.90, 3,577.35 and 1,544.82

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Solution

The fourth proportional to 2,592.90, 3,577.35 and 1,544.82 is: 2,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,577.35 = 1,544.82 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,577.35 = 1,544.82/x
  3. Step 3: Cross multiply
    2,592.90x = 3,577.35 × 1,544.82
  4. Step 4: Simplify right side
    2,592.90x = 5,526,361.83
  5. Step 5: Solve for x
    x = 5,526,361.83/2,592.90
  6. Step 6: Final answer
    x = 2,131.34

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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.