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Finding the Fourth Proportional to 1,608.72, 2,203.35 and 1,514.13

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Solution

The fourth proportional to 1,608.72, 2,203.35 and 1,514.13 is: 2,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.72 : 2,203.35 = 1,514.13 : x
  2. Step 2: Convert to fraction form
    1,608.72/2,203.35 = 1,514.13/x
  3. Step 3: Cross multiply
    1,608.72x = 2,203.35 × 1,514.13
  4. Step 4: Simplify right side
    1,608.72x = 3,336,158.34
  5. Step 5: Solve for x
    x = 3,336,158.34/1,608.72
  6. Step 6: Final answer
    x = 2,073.80

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