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Finding the Fourth Proportional to 2,342.57, 3,511.18 and 782.20

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Solution

The fourth proportional to 2,342.57, 3,511.18 and 782.20 is: 1,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.57 : 3,511.18 = 782.20 : x
  2. Step 2: Convert to fraction form
    2,342.57/3,511.18 = 782.20/x
  3. Step 3: Cross multiply
    2,342.57x = 3,511.18 × 782.20
  4. Step 4: Simplify right side
    2,342.57x = 2,746,450.36
  5. Step 5: Solve for x
    x = 2,746,450.36/2,342.57
  6. Step 6: Final answer
    x = 1,172.41

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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.