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Finding the Fourth Proportional to 2,735.19, 3,765.06 and 2,385.27

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Solution

The fourth proportional to 2,735.19, 3,765.06 and 2,385.27 is: 3,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.19 : 3,765.06 = 2,385.27 : x
  2. Step 2: Convert to fraction form
    2,735.19/3,765.06 = 2,385.27/x
  3. Step 3: Cross multiply
    2,735.19x = 3,765.06 × 2,385.27
  4. Step 4: Simplify right side
    2,735.19x = 8,980,684.67
  5. Step 5: Solve for x
    x = 8,980,684.67/2,735.19
  6. Step 6: Final answer
    x = 3,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.