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Finding the Fourth Proportional to 1,668.44, 2,498.06 and 1,514.68

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Solution

The fourth proportional to 1,668.44, 2,498.06 and 1,514.68 is: 2,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.44 : 2,498.06 = 1,514.68 : x
  2. Step 2: Convert to fraction form
    1,668.44/2,498.06 = 1,514.68/x
  3. Step 3: Cross multiply
    1,668.44x = 2,498.06 × 1,514.68
  4. Step 4: Simplify right side
    1,668.44x = 3,783,761.52
  5. Step 5: Solve for x
    x = 3,783,761.52/1,668.44
  6. Step 6: Final answer
    x = 2,267.84

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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.