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Finding the Fourth Proportional to 2,668.55, 3,682.35 and 1,549.53

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Solution

The fourth proportional to 2,668.55, 3,682.35 and 1,549.53 is: 2,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.55 : 3,682.35 = 1,549.53 : x
  2. Step 2: Convert to fraction form
    2,668.55/3,682.35 = 1,549.53/x
  3. Step 3: Cross multiply
    2,668.55x = 3,682.35 × 1,549.53
  4. Step 4: Simplify right side
    2,668.55x = 5,705,911.80
  5. Step 5: Solve for x
    x = 5,705,911.80/2,668.55
  6. Step 6: Final answer
    x = 2,138.21

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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.