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Finding the Fourth Proportional to 1,789.32, 2,668.11 and 1,670.16

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Solution

The fourth proportional to 1,789.32, 2,668.11 and 1,670.16 is: 2,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.32 : 2,668.11 = 1,670.16 : x
  2. Step 2: Convert to fraction form
    1,789.32/2,668.11 = 1,670.16/x
  3. Step 3: Cross multiply
    1,789.32x = 2,668.11 × 1,670.16
  4. Step 4: Simplify right side
    1,789.32x = 4,456,170.60
  5. Step 5: Solve for x
    x = 4,456,170.60/1,789.32
  6. Step 6: Final answer
    x = 2,490.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.