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Finding the Fourth Proportional to 2,267.07, 3,400.94 and 707.23

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Solution

The fourth proportional to 2,267.07, 3,400.94 and 707.23 is: 1,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.07 : 3,400.94 = 707.23 : x
  2. Step 2: Convert to fraction form
    2,267.07/3,400.94 = 707.23/x
  3. Step 3: Cross multiply
    2,267.07x = 3,400.94 × 707.23
  4. Step 4: Simplify right side
    2,267.07x = 2,405,246.80
  5. Step 5: Solve for x
    x = 2,405,246.80/2,267.07
  6. Step 6: Final answer
    x = 1,060.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.