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Finding the Fourth Proportional to 3,242.49, 4,863.32 and 902.67

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Solution

The fourth proportional to 3,242.49, 4,863.32 and 902.67 is: 1,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.49 : 4,863.32 = 902.67 : x
  2. Step 2: Convert to fraction form
    3,242.49/4,863.32 = 902.67/x
  3. Step 3: Cross multiply
    3,242.49x = 4,863.32 × 902.67
  4. Step 4: Simplify right side
    3,242.49x = 4,389,973.06
  5. Step 5: Solve for x
    x = 4,389,973.06/3,242.49
  6. Step 6: Final answer
    x = 1,353.89

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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.