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Finding the Fourth Proportional to 2,580.30, 3,560.49 and 2,136.42

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Solution

The fourth proportional to 2,580.30, 3,560.49 and 2,136.42 is: 2,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.30 : 3,560.49 = 2,136.42 : x
  2. Step 2: Convert to fraction form
    2,580.30/3,560.49 = 2,136.42/x
  3. Step 3: Cross multiply
    2,580.30x = 3,560.49 × 2,136.42
  4. Step 4: Simplify right side
    2,580.30x = 7,606,702.05
  5. Step 5: Solve for x
    x = 7,606,702.05/2,580.30
  6. Step 6: Final answer
    x = 2,947.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.