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Finding the Fourth Proportional to 2,735.07, 4,102.75 and 885.94

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Solution

The fourth proportional to 2,735.07, 4,102.75 and 885.94 is: 1,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.07 : 4,102.75 = 885.94 : x
  2. Step 2: Convert to fraction form
    2,735.07/4,102.75 = 885.94/x
  3. Step 3: Cross multiply
    2,735.07x = 4,102.75 × 885.94
  4. Step 4: Simplify right side
    2,735.07x = 3,634,781.19
  5. Step 5: Solve for x
    x = 3,634,781.19/2,735.07
  6. Step 6: Final answer
    x = 1,328.96

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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.