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Finding the Fourth Proportional to 2,735.42, 4,102.11 and 886.05

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Solution

The fourth proportional to 2,735.42, 4,102.11 and 886.05 is: 1,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.42 : 4,102.11 = 886.05 : x
  2. Step 2: Convert to fraction form
    2,735.42/4,102.11 = 886.05/x
  3. Step 3: Cross multiply
    2,735.42x = 4,102.11 × 886.05
  4. Step 4: Simplify right side
    2,735.42x = 3,634,674.57
  5. Step 5: Solve for x
    x = 3,634,674.57/2,735.42
  6. Step 6: Final answer
    x = 1,328.75

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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.