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Finding the Fourth Proportional to 2,514.48, 3,769.92 and 1,690.80

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Solution

The fourth proportional to 2,514.48, 3,769.92 and 1,690.80 is: 2,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.48 : 3,769.92 = 1,690.80 : x
  2. Step 2: Convert to fraction form
    2,514.48/3,769.92 = 1,690.80/x
  3. Step 3: Cross multiply
    2,514.48x = 3,769.92 × 1,690.80
  4. Step 4: Simplify right side
    2,514.48x = 6,374,180.74
  5. Step 5: Solve for x
    x = 6,374,180.74/2,514.48
  6. Step 6: Final answer
    x = 2,534.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.