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Finding the Fourth Proportional to 1,586.43, 2,375.03 and 1,177.39

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Solution

The fourth proportional to 1,586.43, 2,375.03 and 1,177.39 is: 1,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.43 : 2,375.03 = 1,177.39 : x
  2. Step 2: Convert to fraction form
    1,586.43/2,375.03 = 1,177.39/x
  3. Step 3: Cross multiply
    1,586.43x = 2,375.03 × 1,177.39
  4. Step 4: Simplify right side
    1,586.43x = 2,796,342.08
  5. Step 5: Solve for x
    x = 2,796,342.08/1,586.43
  6. Step 6: Final answer
    x = 1,762.66

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