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Finding the Fourth Proportional to 2,283.15, 3,425.06 and 722.80

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Solution

The fourth proportional to 2,283.15, 3,425.06 and 722.80 is: 1,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.15 : 3,425.06 = 722.80 : x
  2. Step 2: Convert to fraction form
    2,283.15/3,425.06 = 722.80/x
  3. Step 3: Cross multiply
    2,283.15x = 3,425.06 × 722.80
  4. Step 4: Simplify right side
    2,283.15x = 2,475,633.37
  5. Step 5: Solve for x
    x = 2,475,633.37/2,283.15
  6. Step 6: Final answer
    x = 1,084.31

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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.