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Finding the Fourth Proportional to 1,674.80, 2,514.90 and 1,215.80

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Solution

The fourth proportional to 1,674.80, 2,514.90 and 1,215.80 is: 1,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.80 : 2,514.90 = 1,215.80 : x
  2. Step 2: Convert to fraction form
    1,674.80/2,514.90 = 1,215.80/x
  3. Step 3: Cross multiply
    1,674.80x = 2,514.90 × 1,215.80
  4. Step 4: Simplify right side
    1,674.80x = 3,057,615.42
  5. Step 5: Solve for x
    x = 3,057,615.42/1,674.80
  6. Step 6: Final answer
    x = 1,825.66

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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.