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Finding the Fourth Proportional to 2,273.04, 3,409.47 and 712.80

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Solution

The fourth proportional to 2,273.04, 3,409.47 and 712.80 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.04 : 3,409.47 = 712.80 : x
  2. Step 2: Convert to fraction form
    2,273.04/3,409.47 = 712.80/x
  3. Step 3: Cross multiply
    2,273.04x = 3,409.47 × 712.80
  4. Step 4: Simplify right side
    2,273.04x = 2,430,270.22
  5. Step 5: Solve for x
    x = 2,430,270.22/2,273.04
  6. Step 6: Final answer
    x = 1,069.17

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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.