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Finding the Fourth Proportional to 3,164.16, 4,746.22 and 1,189.71

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Solution

The fourth proportional to 3,164.16, 4,746.22 and 1,189.71 is: 1,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,746.22 = 1,189.71 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,746.22 = 1,189.71/x
  3. Step 3: Cross multiply
    3,164.16x = 4,746.22 × 1,189.71
  4. Step 4: Simplify right side
    3,164.16x = 5,646,625.40
  5. Step 5: Solve for x
    x = 5,646,625.40/3,164.16
  6. Step 6: Final answer
    x = 1,784.56

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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.