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Finding the Fourth Proportional to 2,296.80, 3,445.20 and 1,944.45

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Solution

The fourth proportional to 2,296.80, 3,445.20 and 1,944.45 is: 2,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.80 : 3,445.20 = 1,944.45 : x
  2. Step 2: Convert to fraction form
    2,296.80/3,445.20 = 1,944.45/x
  3. Step 3: Cross multiply
    2,296.80x = 3,445.20 × 1,944.45
  4. Step 4: Simplify right side
    2,296.80x = 6,699,019.14
  5. Step 5: Solve for x
    x = 6,699,019.14/2,296.80
  6. Step 6: Final answer
    x = 2,916.68

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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.