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Finding the Fourth Proportional to 2,269.97, 3,405.14 and 626.64

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Solution

The fourth proportional to 2,269.97, 3,405.14 and 626.64 is: 940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.97 : 3,405.14 = 626.64 : x
  2. Step 2: Convert to fraction form
    2,269.97/3,405.14 = 626.64/x
  3. Step 3: Cross multiply
    2,269.97x = 3,405.14 × 626.64
  4. Step 4: Simplify right side
    2,269.97x = 2,133,793.80
  5. Step 5: Solve for x
    x = 2,133,793.80/2,269.97
  6. Step 6: Final answer
    x = 940.01

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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.