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Finding the Fourth Proportional to 1,592.55, 2,195.64 and 1,150.56

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Solution

The fourth proportional to 1,592.55, 2,195.64 and 1,150.56 is: 1,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.55 : 2,195.64 = 1,150.56 : x
  2. Step 2: Convert to fraction form
    1,592.55/2,195.64 = 1,150.56/x
  3. Step 3: Cross multiply
    1,592.55x = 2,195.64 × 1,150.56
  4. Step 4: Simplify right side
    1,592.55x = 2,526,215.56
  5. Step 5: Solve for x
    x = 2,526,215.56/1,592.55
  6. Step 6: Final answer
    x = 1,586.27

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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.