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Finding the Fourth Proportional to 1,549.24, 2,323.86 and 727.45

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Solution

The fourth proportional to 1,549.24, 2,323.86 and 727.45 is: 1,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.24 : 2,323.86 = 727.45 : x
  2. Step 2: Convert to fraction form
    1,549.24/2,323.86 = 727.45/x
  3. Step 3: Cross multiply
    1,549.24x = 2,323.86 × 727.45
  4. Step 4: Simplify right side
    1,549.24x = 1,690,491.96
  5. Step 5: Solve for x
    x = 1,690,491.96/1,549.24
  6. Step 6: Final answer
    x = 1,091.18

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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.