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Finding the Fourth Proportional to 3,216.17, 4,824.44 and 907.67

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Solution

The fourth proportional to 3,216.17, 4,824.44 and 907.67 is: 1,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.17 : 4,824.44 = 907.67 : x
  2. Step 2: Convert to fraction form
    3,216.17/4,824.44 = 907.67/x
  3. Step 3: Cross multiply
    3,216.17x = 4,824.44 × 907.67
  4. Step 4: Simplify right side
    3,216.17x = 4,378,999.45
  5. Step 5: Solve for x
    x = 4,378,999.45/3,216.17
  6. Step 6: Final answer
    x = 1,361.56

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1.5x scale

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.