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Finding the Fourth Proportional to 3,107.85, 4,288.56 and 1,763.45

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Solution

The fourth proportional to 3,107.85, 4,288.56 and 1,763.45 is: 2,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.85 : 4,288.56 = 1,763.45 : x
  2. Step 2: Convert to fraction form
    3,107.85/4,288.56 = 1,763.45/x
  3. Step 3: Cross multiply
    3,107.85x = 4,288.56 × 1,763.45
  4. Step 4: Simplify right side
    3,107.85x = 7,562,639.69
  5. Step 5: Solve for x
    x = 7,562,639.69/3,107.85
  6. Step 6: Final answer
    x = 2,433.40

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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.