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Finding the Fourth Proportional to 2,667.76, 3,681.62 and 1,548.68

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Solution

The fourth proportional to 2,667.76, 3,681.62 and 1,548.68 is: 2,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.76 : 3,681.62 = 1,548.68 : x
  2. Step 2: Convert to fraction form
    2,667.76/3,681.62 = 1,548.68/x
  3. Step 3: Cross multiply
    2,667.76x = 3,681.62 × 1,548.68
  4. Step 4: Simplify right side
    2,667.76x = 5,701,651.26
  5. Step 5: Solve for x
    x = 5,701,651.26/2,667.76
  6. Step 6: Final answer
    x = 2,137.24

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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.