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Finding the Fourth Proportional to 2,945.82, 4,419.20 and 1,097.20

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Solution

The fourth proportional to 2,945.82, 4,419.20 and 1,097.20 is: 1,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.82 : 4,419.20 = 1,097.20 : x
  2. Step 2: Convert to fraction form
    2,945.82/4,419.20 = 1,097.20/x
  3. Step 3: Cross multiply
    2,945.82x = 4,419.20 × 1,097.20
  4. Step 4: Simplify right side
    2,945.82x = 4,848,746.24
  5. Step 5: Solve for x
    x = 4,848,746.24/2,945.82
  6. Step 6: Final answer
    x = 1,645.98

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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.