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Finding the Fourth Proportional to 2,289.45, 3,434.58 and 902.46

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Solution

The fourth proportional to 2,289.45, 3,434.58 and 902.46 is: 1,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.45 : 3,434.58 = 902.46 : x
  2. Step 2: Convert to fraction form
    2,289.45/3,434.58 = 902.46/x
  3. Step 3: Cross multiply
    2,289.45x = 3,434.58 × 902.46
  4. Step 4: Simplify right side
    2,289.45x = 3,099,571.07
  5. Step 5: Solve for x
    x = 3,099,571.07/2,289.45
  6. Step 6: Final answer
    x = 1,353.85

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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.