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Finding the Fourth Proportional to 1,823.34, 2,733.48 and 727.06

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Solution

The fourth proportional to 1,823.34, 2,733.48 and 727.06 is: 1,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.34 : 2,733.48 = 727.06 : x
  2. Step 2: Convert to fraction form
    1,823.34/2,733.48 = 727.06/x
  3. Step 3: Cross multiply
    1,823.34x = 2,733.48 × 727.06
  4. Step 4: Simplify right side
    1,823.34x = 1,987,403.97
  5. Step 5: Solve for x
    x = 1,987,403.97/1,823.34
  6. Step 6: Final answer
    x = 1,089.98

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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.