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Finding the Fourth Proportional to 2,668.34, 3,681.33 and 1,548.87

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Solution

The fourth proportional to 2,668.34, 3,681.33 and 1,548.87 is: 2,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.34 : 3,681.33 = 1,548.87 : x
  2. Step 2: Convert to fraction form
    2,668.34/3,681.33 = 1,548.87/x
  3. Step 3: Cross multiply
    2,668.34x = 3,681.33 × 1,548.87
  4. Step 4: Simplify right side
    2,668.34x = 5,701,901.60
  5. Step 5: Solve for x
    x = 5,701,901.60/2,668.34
  6. Step 6: Final answer
    x = 2,136.88

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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.