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Finding the Fourth Proportional to 1,962.87, 2,944.44 and 576.15

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Solution

The fourth proportional to 1,962.87, 2,944.44 and 576.15 is: 864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.87 : 2,944.44 = 576.15 : x
  2. Step 2: Convert to fraction form
    1,962.87/2,944.44 = 576.15/x
  3. Step 3: Cross multiply
    1,962.87x = 2,944.44 × 576.15
  4. Step 4: Simplify right side
    1,962.87x = 1,696,439.11
  5. Step 5: Solve for x
    x = 1,696,439.11/1,962.87
  6. Step 6: Final answer
    x = 864.26

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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.