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Finding the Fourth Proportional to 2,945.74, 4,419.20 and 865.81

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Solution

The fourth proportional to 2,945.74, 4,419.20 and 865.81 is: 1,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.74 : 4,419.20 = 865.81 : x
  2. Step 2: Convert to fraction form
    2,945.74/4,419.20 = 865.81/x
  3. Step 3: Cross multiply
    2,945.74x = 4,419.20 × 865.81
  4. Step 4: Simplify right side
    2,945.74x = 3,826,187.55
  5. Step 5: Solve for x
    x = 3,826,187.55/2,945.74
  6. Step 6: Final answer
    x = 1,298.89

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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.