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Finding the Fourth Proportional to 2,591.53, 3,577.16 and 2,061.38

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Solution

The fourth proportional to 2,591.53, 3,577.16 and 2,061.38 is: 2,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.53 : 3,577.16 = 2,061.38 : x
  2. Step 2: Convert to fraction form
    2,591.53/3,577.16 = 2,061.38/x
  3. Step 3: Cross multiply
    2,591.53x = 3,577.16 × 2,061.38
  4. Step 4: Simplify right side
    2,591.53x = 7,373,900.18
  5. Step 5: Solve for x
    x = 7,373,900.18/2,591.53
  6. Step 6: Final answer
    x = 2,845.39

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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.