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Finding the Fourth Proportional to 3,265.60, 4,893.60 and 1,314.40

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Solution

The fourth proportional to 3,265.60, 4,893.60 and 1,314.40 is: 1,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.60 : 4,893.60 = 1,314.40 : x
  2. Step 2: Convert to fraction form
    3,265.60/4,893.60 = 1,314.40/x
  3. Step 3: Cross multiply
    3,265.60x = 4,893.60 × 1,314.40
  4. Step 4: Simplify right side
    3,265.60x = 6,432,147.84
  5. Step 5: Solve for x
    x = 6,432,147.84/3,265.60
  6. Step 6: Final answer
    x = 1,969.67

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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.