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Finding the Fourth Proportional to 2,178.95, 3,269.05 and 792.26

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Solution

The fourth proportional to 2,178.95, 3,269.05 and 792.26 is: 1,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.95 : 3,269.05 = 792.26 : x
  2. Step 2: Convert to fraction form
    2,178.95/3,269.05 = 792.26/x
  3. Step 3: Cross multiply
    2,178.95x = 3,269.05 × 792.26
  4. Step 4: Simplify right side
    2,178.95x = 2,589,931.49
  5. Step 5: Solve for x
    x = 2,589,931.49/2,178.95
  6. Step 6: Final answer
    x = 1,188.62

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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.