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Finding the Fourth Proportional to 1,780.56, 2,672.21 and 1,164.11

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Solution

The fourth proportional to 1,780.56, 2,672.21 and 1,164.11 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.56 : 2,672.21 = 1,164.11 : x
  2. Step 2: Convert to fraction form
    1,780.56/2,672.21 = 1,164.11/x
  3. Step 3: Cross multiply
    1,780.56x = 2,672.21 × 1,164.11
  4. Step 4: Simplify right side
    1,780.56x = 3,110,735.93
  5. Step 5: Solve for x
    x = 3,110,735.93/1,780.56
  6. Step 6: Final answer
    x = 1,747.05

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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.