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Finding the Fourth Proportional to 2,582.27, 3,872.22 and 1,802.62

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Solution

The fourth proportional to 2,582.27, 3,872.22 and 1,802.62 is: 2,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.27 : 3,872.22 = 1,802.62 : x
  2. Step 2: Convert to fraction form
    2,582.27/3,872.22 = 1,802.62/x
  3. Step 3: Cross multiply
    2,582.27x = 3,872.22 × 1,802.62
  4. Step 4: Simplify right side
    2,582.27x = 6,980,141.22
  5. Step 5: Solve for x
    x = 6,980,141.22/2,582.27
  6. Step 6: Final answer
    x = 2,703.10

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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.