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Finding the Fourth Proportional to 1,226.89, 1,838.59 and 951.70

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Solution

The fourth proportional to 1,226.89, 1,838.59 and 951.70 is: 1,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.89 : 1,838.59 = 951.70 : x
  2. Step 2: Convert to fraction form
    1,226.89/1,838.59 = 951.70/x
  3. Step 3: Cross multiply
    1,226.89x = 1,838.59 × 951.70
  4. Step 4: Simplify right side
    1,226.89x = 1,749,786.10
  5. Step 5: Solve for x
    x = 1,749,786.10/1,226.89
  6. Step 6: Final answer
    x = 1,426.20

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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.