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Finding the Fourth Proportional to 3,267.84, 4,509.70 and 1,775.74

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Solution

The fourth proportional to 3,267.84, 4,509.70 and 1,775.74 is: 2,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.84 : 4,509.70 = 1,775.74 : x
  2. Step 2: Convert to fraction form
    3,267.84/4,509.70 = 1,775.74/x
  3. Step 3: Cross multiply
    3,267.84x = 4,509.70 × 1,775.74
  4. Step 4: Simplify right side
    3,267.84x = 8,008,054.68
  5. Step 5: Solve for x
    x = 8,008,054.68/3,267.84
  6. Step 6: Final answer
    x = 2,450.57

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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.