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Finding the Fourth Proportional to 2,668.90, 3,682.71 and 1,549.93

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Solution

The fourth proportional to 2,668.90, 3,682.71 and 1,549.93 is: 2,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.90 : 3,682.71 = 1,549.93 : x
  2. Step 2: Convert to fraction form
    2,668.90/3,682.71 = 1,549.93/x
  3. Step 3: Cross multiply
    2,668.90x = 3,682.71 × 1,549.93
  4. Step 4: Simplify right side
    2,668.90x = 5,707,942.71
  5. Step 5: Solve for x
    x = 5,707,942.71/2,668.90
  6. Step 6: Final answer
    x = 2,138.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.