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Finding the Fourth Proportional to 1,580.87, 2,372.47 and 1,276.37

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Solution

The fourth proportional to 1,580.87, 2,372.47 and 1,276.37 is: 1,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.87 : 2,372.47 = 1,276.37 : x
  2. Step 2: Convert to fraction form
    1,580.87/2,372.47 = 1,276.37/x
  3. Step 3: Cross multiply
    1,580.87x = 2,372.47 × 1,276.37
  4. Step 4: Simplify right side
    1,580.87x = 3,028,149.53
  5. Step 5: Solve for x
    x = 3,028,149.53/1,580.87
  6. Step 6: Final answer
    x = 1,915.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.