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Finding the Fourth Proportional to 1,788.23, 2,680.78 and 617.43

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Solution

The fourth proportional to 1,788.23, 2,680.78 and 617.43 is: 925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.23 : 2,680.78 = 617.43 : x
  2. Step 2: Convert to fraction form
    1,788.23/2,680.78 = 617.43/x
  3. Step 3: Cross multiply
    1,788.23x = 2,680.78 × 617.43
  4. Step 4: Simplify right side
    1,788.23x = 1,655,193.07
  5. Step 5: Solve for x
    x = 1,655,193.07/1,788.23
  6. Step 6: Final answer
    x = 925.60

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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.