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Finding the Fourth Proportional to 2,363.33, 3,544.79 and 902.49

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Solution

The fourth proportional to 2,363.33, 3,544.79 and 902.49 is: 1,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.33 : 3,544.79 = 902.49 : x
  2. Step 2: Convert to fraction form
    2,363.33/3,544.79 = 902.49/x
  3. Step 3: Cross multiply
    2,363.33x = 3,544.79 × 902.49
  4. Step 4: Simplify right side
    2,363.33x = 3,199,133.01
  5. Step 5: Solve for x
    x = 3,199,133.01/2,363.33
  6. Step 6: Final answer
    x = 1,353.66

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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.