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Finding the Fourth Proportional to 1,823.11, 2,734.62 and 782.23

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Solution

The fourth proportional to 1,823.11, 2,734.62 and 782.23 is: 1,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.11 : 2,734.62 = 782.23 : x
  2. Step 2: Convert to fraction form
    1,823.11/2,734.62 = 782.23/x
  3. Step 3: Cross multiply
    1,823.11x = 2,734.62 × 782.23
  4. Step 4: Simplify right side
    1,823.11x = 2,139,101.80
  5. Step 5: Solve for x
    x = 2,139,101.80/1,823.11
  6. Step 6: Final answer
    x = 1,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.