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Finding the Fourth Proportional to 1,647.14, 2,470.76 and 722.23

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Solution

The fourth proportional to 1,647.14, 2,470.76 and 722.23 is: 1,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.14 : 2,470.76 = 722.23 : x
  2. Step 2: Convert to fraction form
    1,647.14/2,470.76 = 722.23/x
  3. Step 3: Cross multiply
    1,647.14x = 2,470.76 × 722.23
  4. Step 4: Simplify right side
    1,647.14x = 1,784,441.03
  5. Step 5: Solve for x
    x = 1,784,441.03/1,647.14
  6. Step 6: Final answer
    x = 1,083.36

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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.