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Finding the Fourth Proportional to 1,590.92, 2,199.42 and 1,576.34

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Solution

The fourth proportional to 1,590.92, 2,199.42 and 1,576.34 is: 2,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.92 : 2,199.42 = 1,576.34 : x
  2. Step 2: Convert to fraction form
    1,590.92/2,199.42 = 1,576.34/x
  3. Step 3: Cross multiply
    1,590.92x = 2,199.42 × 1,576.34
  4. Step 4: Simplify right side
    1,590.92x = 3,467,033.72
  5. Step 5: Solve for x
    x = 3,467,033.72/1,590.92
  6. Step 6: Final answer
    x = 2,179.26

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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.