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Finding the Fourth Proportional to 3,267.76, 4,509.51 and 1,775.68

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Solution

The fourth proportional to 3,267.76, 4,509.51 and 1,775.68 is: 2,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.76 : 4,509.51 = 1,775.68 : x
  2. Step 2: Convert to fraction form
    3,267.76/4,509.51 = 1,775.68/x
  3. Step 3: Cross multiply
    3,267.76x = 4,509.51 × 1,775.68
  4. Step 4: Simplify right side
    3,267.76x = 8,007,446.72
  5. Step 5: Solve for x
    x = 8,007,446.72/3,267.76
  6. Step 6: Final answer
    x = 2,450.44

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1.5x scale

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.