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Finding the Fourth Proportional to 2,735.28, 4,102.68 and 885.90

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Solution

The fourth proportional to 2,735.28, 4,102.68 and 885.90 is: 1,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.28 : 4,102.68 = 885.90 : x
  2. Step 2: Convert to fraction form
    2,735.28/4,102.68 = 885.90/x
  3. Step 3: Cross multiply
    2,735.28x = 4,102.68 × 885.90
  4. Step 4: Simplify right side
    2,735.28x = 3,634,564.21
  5. Step 5: Solve for x
    x = 3,634,564.21/2,735.28
  6. Step 6: Final answer
    x = 1,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.