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Finding the Fourth Proportional to 1,728.88, 2,374.26 and 1,480.20

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Solution

The fourth proportional to 1,728.88, 2,374.26 and 1,480.20 is: 2,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.88 : 2,374.26 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    1,728.88/2,374.26 = 1,480.20/x
  3. Step 3: Cross multiply
    1,728.88x = 2,374.26 × 1,480.20
  4. Step 4: Simplify right side
    1,728.88x = 3,514,379.65
  5. Step 5: Solve for x
    x = 3,514,379.65/1,728.88
  6. Step 6: Final answer
    x = 2,032.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.