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Finding the Fourth Proportional to 2,735.55, 4,103.98 and 886.67

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Solution

The fourth proportional to 2,735.55, 4,103.98 and 886.67 is: 1,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.55 : 4,103.98 = 886.67 : x
  2. Step 2: Convert to fraction form
    2,735.55/4,103.98 = 886.67/x
  3. Step 3: Cross multiply
    2,735.55x = 4,103.98 × 886.67
  4. Step 4: Simplify right side
    2,735.55x = 3,638,868.60
  5. Step 5: Solve for x
    x = 3,638,868.60/2,735.55
  6. Step 6: Final answer
    x = 1,330.21

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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.