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Finding the Fourth Proportional to 1,548.17, 2,322.86 and 681.88

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Solution

The fourth proportional to 1,548.17, 2,322.86 and 681.88 is: 1,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.17 : 2,322.86 = 681.88 : x
  2. Step 2: Convert to fraction form
    1,548.17/2,322.86 = 681.88/x
  3. Step 3: Cross multiply
    1,548.17x = 2,322.86 × 681.88
  4. Step 4: Simplify right side
    1,548.17x = 1,583,911.78
  5. Step 5: Solve for x
    x = 1,583,911.78/1,548.17
  6. Step 6: Final answer
    x = 1,023.09

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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.