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Finding the Fourth Proportional to 2,267.45, 3,402.09 and 807.63

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Solution

The fourth proportional to 2,267.45, 3,402.09 and 807.63 is: 1,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.45 : 3,402.09 = 807.63 : x
  2. Step 2: Convert to fraction form
    2,267.45/3,402.09 = 807.63/x
  3. Step 3: Cross multiply
    2,267.45x = 3,402.09 × 807.63
  4. Step 4: Simplify right side
    2,267.45x = 2,747,629.95
  5. Step 5: Solve for x
    x = 2,747,629.95/2,267.45
  6. Step 6: Final answer
    x = 1,211.77

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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.