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Finding the Fourth Proportional to 3,189.66, 4,785.24 and 968.46

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Solution

The fourth proportional to 3,189.66, 4,785.24 and 968.46 is: 1,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.66 : 4,785.24 = 968.46 : x
  2. Step 2: Convert to fraction form
    3,189.66/4,785.24 = 968.46/x
  3. Step 3: Cross multiply
    3,189.66x = 4,785.24 × 968.46
  4. Step 4: Simplify right side
    3,189.66x = 4,634,313.53
  5. Step 5: Solve for x
    x = 4,634,313.53/3,189.66
  6. Step 6: Final answer
    x = 1,452.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.