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Finding the Fourth Proportional to 1,586.63, 2,380.21 and 897.73

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Solution

The fourth proportional to 1,586.63, 2,380.21 and 897.73 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.63 : 2,380.21 = 897.73 : x
  2. Step 2: Convert to fraction form
    1,586.63/2,380.21 = 897.73/x
  3. Step 3: Cross multiply
    1,586.63x = 2,380.21 × 897.73
  4. Step 4: Simplify right side
    1,586.63x = 2,136,777.73
  5. Step 5: Solve for x
    x = 2,136,777.73/1,586.63
  6. Step 6: Final answer
    x = 1,346.74

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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.