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Finding the Fourth Proportional to 2,802.22, 4,202.96 and 953.26

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Solution

The fourth proportional to 2,802.22, 4,202.96 and 953.26 is: 1,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.22 : 4,202.96 = 953.26 : x
  2. Step 2: Convert to fraction form
    2,802.22/4,202.96 = 953.26/x
  3. Step 3: Cross multiply
    2,802.22x = 4,202.96 × 953.26
  4. Step 4: Simplify right side
    2,802.22x = 4,006,513.65
  5. Step 5: Solve for x
    x = 4,006,513.65/2,802.22
  6. Step 6: Final answer
    x = 1,429.76

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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.