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Finding the Fourth Proportional to 1,596.44, 2,393.81 and 1,411.79

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Solution

The fourth proportional to 1,596.44, 2,393.81 and 1,411.79 is: 2,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.44 : 2,393.81 = 1,411.79 : x
  2. Step 2: Convert to fraction form
    1,596.44/2,393.81 = 1,411.79/x
  3. Step 3: Cross multiply
    1,596.44x = 2,393.81 × 1,411.79
  4. Step 4: Simplify right side
    1,596.44x = 3,379,537.99
  5. Step 5: Solve for x
    x = 3,379,537.99/1,596.44
  6. Step 6: Final answer
    x = 2,116.93

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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.