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Finding the Fourth Proportional to 2,419.05, 3,628.85 and 858.72

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Solution

The fourth proportional to 2,419.05, 3,628.85 and 858.72 is: 1,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.05 : 3,628.85 = 858.72 : x
  2. Step 2: Convert to fraction form
    2,419.05/3,628.85 = 858.72/x
  3. Step 3: Cross multiply
    2,419.05x = 3,628.85 × 858.72
  4. Step 4: Simplify right side
    2,419.05x = 3,116,161.78
  5. Step 5: Solve for x
    x = 3,116,161.78/2,419.05
  6. Step 6: Final answer
    x = 1,288.18

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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.