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Finding the Fourth Proportional to 1,589.86, 2,380.73 and 941.06

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Solution

The fourth proportional to 1,589.86, 2,380.73 and 941.06 is: 1,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.86 : 2,380.73 = 941.06 : x
  2. Step 2: Convert to fraction form
    1,589.86/2,380.73 = 941.06/x
  3. Step 3: Cross multiply
    1,589.86x = 2,380.73 × 941.06
  4. Step 4: Simplify right side
    1,589.86x = 2,240,409.77
  5. Step 5: Solve for x
    x = 2,240,409.77/1,589.86
  6. Step 6: Final answer
    x = 1,409.19

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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.