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Finding the Fourth Proportional to 1,822.65, 2,731.62 and 782.36

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Solution

The fourth proportional to 1,822.65, 2,731.62 and 782.36 is: 1,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.65 : 2,731.62 = 782.36 : x
  2. Step 2: Convert to fraction form
    1,822.65/2,731.62 = 782.36/x
  3. Step 3: Cross multiply
    1,822.65x = 2,731.62 × 782.36
  4. Step 4: Simplify right side
    1,822.65x = 2,137,109.74
  5. Step 5: Solve for x
    x = 2,137,109.74/1,822.65
  6. Step 6: Final answer
    x = 1,172.53

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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.