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Finding the Fourth Proportional to 2,289.56, 3,434.40 and 902.84

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Solution

The fourth proportional to 2,289.56, 3,434.40 and 902.84 is: 1,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.56 : 3,434.40 = 902.84 : x
  2. Step 2: Convert to fraction form
    2,289.56/3,434.40 = 902.84/x
  3. Step 3: Cross multiply
    2,289.56x = 3,434.40 × 902.84
  4. Step 4: Simplify right side
    2,289.56x = 3,100,713.70
  5. Step 5: Solve for x
    x = 3,100,713.70/2,289.56
  6. Step 6: Final answer
    x = 1,354.28

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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.