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Finding the Fourth Proportional to 1,780.91, 2,666.57 and 1,163.08

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Solution

The fourth proportional to 1,780.91, 2,666.57 and 1,163.08 is: 1,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.91 : 2,666.57 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    1,780.91/2,666.57 = 1,163.08/x
  3. Step 3: Cross multiply
    1,780.91x = 2,666.57 × 1,163.08
  4. Step 4: Simplify right side
    1,780.91x = 3,101,421.75
  5. Step 5: Solve for x
    x = 3,101,421.75/1,780.91
  6. Step 6: Final answer
    x = 1,741.49

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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.