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Finding the Fourth Proportional to 2,189.44, 3,284.78 and 802.72

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Solution

The fourth proportional to 2,189.44, 3,284.78 and 802.72 is: 1,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.44 : 3,284.78 = 802.72 : x
  2. Step 2: Convert to fraction form
    2,189.44/3,284.78 = 802.72/x
  3. Step 3: Cross multiply
    2,189.44x = 3,284.78 × 802.72
  4. Step 4: Simplify right side
    2,189.44x = 2,636,758.60
  5. Step 5: Solve for x
    x = 2,636,758.60/2,189.44
  6. Step 6: Final answer
    x = 1,204.31

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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.