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Finding the Fourth Proportional to 2,802.25, 3,866.16 and 1,622.89

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Solution

The fourth proportional to 2,802.25, 3,866.16 and 1,622.89 is: 2,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.25 : 3,866.16 = 1,622.89 : x
  2. Step 2: Convert to fraction form
    2,802.25/3,866.16 = 1,622.89/x
  3. Step 3: Cross multiply
    2,802.25x = 3,866.16 × 1,622.89
  4. Step 4: Simplify right side
    2,802.25x = 6,274,352.40
  5. Step 5: Solve for x
    x = 6,274,352.40/2,802.25
  6. Step 6: Final answer
    x = 2,239.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.