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Finding the Fourth Proportional to 1,548.96, 2,322.76 and 727.47

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Solution

The fourth proportional to 1,548.96, 2,322.76 and 727.47 is: 1,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.96 : 2,322.76 = 727.47 : x
  2. Step 2: Convert to fraction form
    1,548.96/2,322.76 = 727.47/x
  3. Step 3: Cross multiply
    1,548.96x = 2,322.76 × 727.47
  4. Step 4: Simplify right side
    1,548.96x = 1,689,738.22
  5. Step 5: Solve for x
    x = 1,689,738.22/1,548.96
  6. Step 6: Final answer
    x = 1,090.89

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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.