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Finding the Fourth Proportional to 1,765.05, 2,435.83 and 968.43

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Solution

The fourth proportional to 1,765.05, 2,435.83 and 968.43 is: 1,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.05 : 2,435.83 = 968.43 : x
  2. Step 2: Convert to fraction form
    1,765.05/2,435.83 = 968.43/x
  3. Step 3: Cross multiply
    1,765.05x = 2,435.83 × 968.43
  4. Step 4: Simplify right side
    1,765.05x = 2,358,928.43
  5. Step 5: Solve for x
    x = 2,358,928.43/1,765.05
  6. Step 6: Final answer
    x = 1,336.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.