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Finding the Fourth Proportional to 1,779.76, 2,453.82 and 1,149.22

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Solution

The fourth proportional to 1,779.76, 2,453.82 and 1,149.22 is: 1,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.76 : 2,453.82 = 1,149.22 : x
  2. Step 2: Convert to fraction form
    1,779.76/2,453.82 = 1,149.22/x
  3. Step 3: Cross multiply
    1,779.76x = 2,453.82 × 1,149.22
  4. Step 4: Simplify right side
    1,779.76x = 2,819,979.02
  5. Step 5: Solve for x
    x = 2,819,979.02/1,779.76
  6. Step 6: Final answer
    x = 1,584.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.